Contents Vol. 65a (2010)

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N u m b e r  1
Original Communications
Diffraction of Electromagnetic Waves
Key words: Electromagnetism; Optics; Diffraction; Polarization.
PACS numbers: 41., 42., 42.25.Fx, 42.25.Ja
U. Brosa
1  Full Text
The Variational Iteration Method and the Variational Homotopy Perturbation Method for Solving the KdV-Burgers Equation and the Sharma-Tasso-Olver Equation
Key words: Variational Iteration Method; Variational Homotopy Perturbation Method; (2+1)-Dimensional Korteweg-de Vries-Burgers Equation; (1+1)-Dimensional Sharma-Tasso-Olver Equation.
E. M. E. Zayed and H. M. A. Rahman
25  Full Text
Two Universal Equations of State for Solids
Key words: Equation of State; High Pressure; Volume Analyticity.
PACS numbers: 05.70.Ce, 62.50.+p
J.-X. Sun, Q. Wu, Y. Guo, and L.-C. Cai
34  Full Text
Flow by a Porous Shrinking Surface in a Rotating Frame
Key words: Rotating Frame; Homotopy Analysis Solution; Shrinking Flow.
T. Hayat, S. Iram, T. Javed, and S. Asghar
45  Full Text
Application of He's Homotopy Perturbation Method to Fractional Diffusion Equations
Key words: Fractional Diffusion Equation; Homotopy Perturbation Method; Inital Value Problem; Mittag-Leffler Function.
S. Das, P. K. Gupta, V. S. Pandey, and K. N. Rai
53  Full Text
Homotopy Perturbation Method for a Reliable Analytic Treatment of some Evolution Equations
Key words: Homotopy Perturbation Method; Evolution Equations; Homotopy; Exact Solution. PACS numbers: 02.30.Jr, 04.20.Jb
C. Chun
59  Full Text
Application of Homotopy Perturbation Method with Chebyshev Polynomials to Nonlinear Problems
Key words: Homotopy Perturbation Method; Chebyshev Polynomials; He's Polynomials; Nonlinear Differential Equations.
PACS numbers: 02.30.Hq, 02.30.Mv
C. Chun
65  Full Text
The Bright Soliton Solutions of Two Variable-Coefficient Coupled Nonlinear Schrödinger Equations in Optical Fibers
Key words: Hirota's Method; Symbolic Computation; Bright Soliton Solution; Coupled Nonlinear Schrödinger Equations.
PACS numbers: 02.30.Ik, 47.35.Fg, 02.30.Jr
D.-S. Wang and Y. Liu
71  Full Text
Exp-Function Method for Generalized Travelling Solutions of Calogero-Degasperis-Fokas Equation
Key words: Exp-Function Method; Calogero-Degasperis-Fokas (CDF) Equation; Nonlinear Partial Differential Equations.
S. T. Mohyud-Din, M. A. Noor, and A. Waheed
78  Full Text
Shock Waves in a Dusty Plasma with Positive and Negative Dust where Ions are Non-Thermal
Key words: Dusty Plasma; Shock Waves; Non-Thermal; Dust Acoustic (DA) Wave.
G. Mandal and P. Chatterjee
85  Full Text
Contribution of Higher-Order Dispersion to Nonlinear Dust Ion Acoustic Waves in Inhomogeneous Mesospheric Dusty Plasma with Dust Charge Fluctuation
Key words: Inhomogeneous Dusty Plasma; Dust Ion Acoustic Waves; Positive and Negative Dust Charge Fluctuation; Variable Coefficients KdV Equation; Higher-Order Solution.
M. T. Attia, M. A. Zahran, E. K. El-Shewy, and A. E. Mowafy
91  Full Text
Reconstruction of the Diffusion Operator from Nodal Data
Key words: Diffusion Operator; Inverse Nodal Problem; Reconstruction Formula.
1991 Mathematics Subject Classification: 34A55, 34L40, 35K57
C. F. Yang
100  Full Text
Ab Initio Hartree-Fock and Density Functional Theory Study on Molecular Structures, Energies, and Vibrational Frequencies of 2-Amino-3-, 4-, and 5-Nitropyridine
Key words: Amino Nitropyridine; Vibrations; IR Spectra; Raman Spectra; HF; DFT.
Y. Sert, F. Ucun, and M. Böyükata
107  Full Text
Quantum-Chemical ab initio Calculations on the Three Isomers of Diborabenzene (C4H4B2)
Key words: Diborabenzenes; Calculations; Singlet-Triplet Splitting; Relative Stabilities; Bond Separation Reactions.
J. Singh, Y. Wang, and G. Raabe
113  Full Text
Short and Medium-Range Order in Liquid Ternary Al80Co10Ni10, Al72.5Co14.5Ni13, and Al65Co17.5Ni17.5 Alloys
Key words: High-Temperature Alloys; Atomic Scale Structure; X-Ray Diffraction; Computer Simulations; Prepeak.
O. S. Roik, O. Samsonnikov, V. Kazimirov, and V. Sokolskii
123  Full Text
Stirring Effect on the Belousov-Zhabotinsky Oscillating Chemical Reactions in a Batch. Experimental and Modelling
Key words: Stirring Effect; Diffusion-Controlled Reactions.
Y. Yu. Kalishyn, M. Rachwalska, and P. E. Strizhak
132  Full Text
Dielectric Relaxation of Binary Mixtures of Tetrahydrofuran and N-Methylformamide in Benzene Solution Using Microwave Absorption Studies
Key words: Dielectric Relaxation; Solute-Solute Interaction; Relaxation Times; Microwave Absorption Studies.
R. Kumar, R. Kumar, and V. S. Rangra
141  Full Text
N u m b e r  3
Original Communications
Exact Solutions for a Class of Nonlinear Singular Two-Point Boundary Value Problems: The Decomposition Method
Key words: Adomian Decomposition Method; Nonlinear Singular Two-Point Boundary Value Problems; Exact Solutions.
A. E. Ebaid
145  Full Text
Analytical and Numerical Solutions of a Generalized Hyperbolic Non-Newtonian Fluid Flow
Key words: Generalized Hyperbolic Non-Newtonian Fluid; Pipe Flow; Parallel Plate Flow; Flow Between Rotating Cylinders.
M. Pakdemirli, P. Sar\i, and B. Solmaz
151  Full Text
Homotopy Solution for Non-Similarity Boundary-Layer Flow near a Stagnation Point
Key words: Non-Similarity; Boundary-Layer; Stagnation Point Flow; Series Solution.
X. You and H. Xu
161  Full Text
The (2+1) and (3+1)-Dimensional CBS Equations: Multiple Soliton Solutions and Multiple Singular Soliton Solutions
Key words: Calogero-Bogoyavlenskii-Schiff Equations; Hirota's Method; Multiple Solitons; Multiple Singular Solitons.
A.-M. Wazwaz
173  Full Text
An Approximate Analytical Solution of the Fractional Diffusion Equation with Absorbent Term and External Force by Homotopy Perturbation Method
Key words: Fractional Diffusion Equation, Fractional Brownion Motion, Homotopy Perturbation Method, Mittag-Leffler Function.
S. Das and P. K. Gupta
182  Full Text
Long Wavelength Flow Analysis in a Curved Channel
Key words: Curved Channel; Peristalsis; Viscous Fluid; Modelling; Wave Frame.
N. Ali, M. Sajid, and T. Hayat
191  Full Text
New Soliton Solutions of Chaffee-Infante Equations Using the Exp-Function Method
Key words: Chaffee-Infante Equations; Solitonary Solutions; Travelling Wave Solutions; Exp-Function Method.
PACS numbers: 02.30.Jr, 04.20.Jb
R. Sakthivel and C. Chun
197  Full Text
On the Reconstruction of the First Term in the Variational Iteration Method for Solving Differential Equations
Key words: Variational Iteration Method; Initial Term; Differential Equations; Partial Differential Equations; Integral Equations.
M. Tatari and M. Dehghan
203  Full Text
New Exact Travelling Wave Solutions of Nonlinear Coagulation Problem with Mass Loss
Key words: Nonlinear Coagulation Problem; Mass Loss; New Exact Travelling Solutions; Laplace Transform.
E.-S. A. El-Wakil, E. M. Abulwafa, and M. A. Abdou
209  Full Text
Magneto Thermal Convection in a Compressible Couple-Stress Fluid
Key words: Thermal Instability; Compressible Couple-Stress Fluid; Uniform Magnetic Field; Linearized Theory; Normal Mode Analysis.
M. Singh and P. Kumar
215  Full Text
Dielectric Properties of Strongly Polar Nematogens
Key words: Liquid Crystals; Nematic Phase; Dielectric Properties; Dipolar Structure.
J. Czub, R. D\cabrowski, S. Urban, and D. Ziobro
221  Full Text
Radiation and Mass Transfer Effects on the Magnetohydrodynamic Unsteady Flow Induced by a Stretching Sheet
Key words: Magnetohydrodynamic; Radiation; Concentration Field; Series Solutions.
T. Hayat, M. Qasim, and Z. Abbas
231  Full Text
Estimating the Vertex PI Index
Key words: Molecular Graph; Vertex PI Index; Edge PI index; Molecular Structure Descriptor; Topological Index; Distance (in Graph); Estimating the Vertex \1{PI} Index
K. Ch. Das and I. Gutman
240  Full Text
Quantum-Chemical Estimation of Outersphere Cations Influence on Charge Transfer at the NbF72- Reduction. I. Electronic Structure of Complexes
Key words: ab initio; Outersphere Cations; Electron Transfer; Electrode Reaction; Niobium Fluoride Complex.
V. V. Soloviev, L. A. Chernenko, V. G. Kremenetsky, and S. A. Kuznetsov
245  Full Text
Theoretical Investigation of the g Factors for Copper (II) Ion in an Orthorhombic Crystal and its Application to (CuCl4)2- Cluster
Key words: Crystal- and Ligand-Field; Electron Paramagnetic Resonance; Spin Hamiltonian; (CuCl4)2- Cluster.
251  Full Text
Intermolecular Spin-Spin Coupling in Highly Fluorinated Solutions of Galvinoxyl Free Radical
Key words: Dynamic Nuclear Polarization; Overhauser Effect; Fluorine-Electron Double Resonance; Free Radical; ESR Spectra.
H. Ovalioglu, A. Peksoz, H. E. Kirimli, and A. Yalciner
254  Full Text
N u m b e r  4
Original Communications
Variational Iteration Method for Burgers' and Coupled Burgers' Equations Using He's Polynomials
Key words: Modified Variational Iteration Method; He's Polynomials; Burgers' Equations.
S. T. Mohyud-Din, M. A. Noor, and K. I. Noor
263  Full Text
The Solution of the Regularized Long Wave Equation Using the Fourier Leap-Frog Method
Key words: Fourier Spectral Method; Fast Fourier Transform; Leap-Frog Method; RLW Equation; Nonlinear Waves.
H. N. Hassan and H. K. Saleh
268  Full Text
Modified Variational Iteration Method for Integro-Differential Equations and Coupled Systems
Key words: Variational Iteration Method; He's Polynomials; Integro Differential-Equations; Blasius Problem; Error Estimates.
PACS numbers: 02.30 Jr, 02.00.00
S. T. Mohyud-Din
277  Full Text
Analytic Solution of the Sharma-Tasso-Olver Equation by Homotopy Analysis Method
Key words: Homotopy Analysis Method; Sharma-Tasso-Olver Equation; Kink Solution.
S. Abbasbandy, M. Ashtiani, and E. Babolian
285  Full Text
Soliton Solution, Bäcklund Transformation, and Conservation Laws for the Sasa-Satsuma Equation in the Optical Fiber Communications
Key words: Sasa-Satsuma Equation; Lax Pair; Bäcklund Transformation; One-Soliton Solution; Infinite Number of Conservation Laws; Soliton Interaction.
PACS numbers: 42.65.Tg, 42.81.Dp, 05.45.Yv
Y. Liu, Y.-T. Gao, T. Xu, X. Lü, Z.-Y. Sun, X.-H. Meng, X. Yu, and X.-L. Gai
291  Full Text
Approximate Solution of Generalized Ginzburg-Landau-Higgs System via Homotopy Perturbation Method
Key words: Homotopy Perturbation Method; GLH System; Approximate Solution.
PACS numbers: 03.65.Ge, 05.45.Yv
J.-H. Lu and C.-L. Zheng
301  Full Text
Numerical Solution of a Boussinesq Type Equation Using Fourier Spectral Methods
Key words: Fourier Spectral Method; Fast Fourier Transform; Boussinesq Equation; Nonlinear Waves.
H. N. Hassan
305  Full Text
Higher-Order Nonlinear Effects on Wave Structures in a Multispecies Plasma with Nonisothermal Electrons
Key words: Ion Acoustic Solitons; Multispecies Plasma; Nonisothermal Distribution; Renormalization Technique.
T. S. Gill, P. Bala, and H. Kaur
W.-L. Feng
315  Full Text
K::One-Dimensional Photonic Crystals; Epsilon-Negative; Transmission.
PACS numbers: 42.70.Qs, 78.20Ci, 41.20.Jb
F. Xu and Y. Chen
329  Full Text
Nematic/Smectic-A Transition (NSA), Location of Tri Critical Point (TCP) in nO.m Series - A Birefringence Study
Key words: nO.m Compounds; NSA Phase Transition; Tricritical Point (TCP); Birefringence.
V. G. K. M. Pisipati, D. M. Latha, B. T. P. Madhav, and P. V. D. Prasad
335  Full Text
Determination of Texture Orientation Related Magnetic Properties of Nickel-Cobalt Films
Key words: Texture Orientation; Magnetic Easy-Axis Distribution; Ni-Co Films; Fourier Series; Magnetic Properties.
M. Bayirli, H. Kockar, M. Alper, and E. Cokturen
342  Full Text
EPR Study of VO2+ Doped Diammonium Tricadmium Tetrakis (Sulfate) Pentahydrate [(NH4)2Cd3(SO4)4 · 5H2O] Single Crystals
Key words: EPR; ESR; Vanadyl Ion; Single Crystal.
\.I. Kartal, B. Karabulut, and E. Bozkurt
347  Full Text
Integrability Test and Travelling-Wave Solutions of Higher-Order Shallow-Water Type Equations
Key words: Integrability Tests; Shallow-Water Equations; Exact Solutions.
MSC2000: 37K10, 35C05
M. Maldonado, M. C. Molinero, A. Pickering, and J. Prada
353  Full Text
N u m b e r  5
Original Communications
Resonances of a Nonlinear Single-Degree-of-Freedom System with Time Delay in Linear Feedback Control
Key words: Nonlinear Single-Degree-of-Freedom; Resonances; Time Delay; Perturbation Methods; Fixed Points; Stability.
A. F. El-Bassiouny and S. El-Kholy
357  Full Text
Numerical Solutions of Peristaltic Flow of a Newtonian Fluid under the Effects of Magnetic Field and Heat Transfer in a Porous Concentric Tubes
Key words: Peristaltic Flow; Newtonian Fluid; Magnetic Field; Heat Transfer; Porous Concentric Tubes.
S. Nadeem, N. S. Akbar, and M. Y. Malik
369  Full Text
On Exact Solutions for Oscillatory Flows in a Generalized Burgers Fluid with Slip Condition
Key words: Slip Effects; Exact Solutions; Modified Darcy Law.
T. Hayat, S. Najam, M. Sajid, and M. Ayub
381  Full Text
Blow Up of Solutions for a Viscoelastic System with Damping and Source Terms in IRn
Key words: Blow Up; Viscoelastic Equation; Coupled System; Damping Term.
W. Liu
392  Full Text
Mixed Convection Boundary Layer Flow over a Stretching Surface Filled with a Maxwell Fluid in Presence of Soret and Dufour's Effect
Key words: Series Solution; Maxwell Fluid; Heat Transfer.
T. Hayata,b, T. Hayat, M. Mustafa, and S. Mesloub
401  Full Text
Analytical Approach to (2+1)-Dimensional Boussinesq Equation and (3+1)-Dimensional Kadomtsev-Petviashvili Equation
Key words: (2+1)-Dimensional Boussinesq Equation; (3+1)-Dimensional Kadomtsev-Petviashvili Equation; Solitary Wave Solutions; Maple Software Package.
S. Sar\iayd\in and A. Y\ild\ir\im
411  Full Text
Application of He's Variational Iteration Method to Nonlinear Integro-Differential Equations
Key words: OHe's Variational Iteration Method; Nonlinear Integro-Differential Equations.
A. Yildirim
418  Full Text
Fractional Diffusion Equation and External Forces: Solutions in a Confined Region
Key words: Diffusion Equation; Confined Geometry; Anomalous Diffusion.
E. K. Lenzi, R. Rossato, M. K. Lenzi, L. R. d. Silva, and G. Gonçalves
423  Full Text
Path Integral Treatment of a Dirac Particle in a Weak Gravitational Plane Wave K:Path Integral; Dirac Equation; Exact Solution.
PACS numbers: 04.30.-w, 03.65.Ca, 03.65.Db, 03.65.Pm
S. Zabat and L. Chetouani
431  Full Text
Periodic Solutions of Asymptotically Linear Hamiltonian Systems without Twist Conditions
Key words: Periodic Solutions; Hamiltonian Systems; Galerkin Approximation Methods; Critical Point Theory; Variational Approaches.
AMS Subject Classification (2000): 34C25, 58E50
R. Cheng and D. Zhang
445  Full Text
Application of the Decomposition Method of Adomian for Solving the Pantograph Equation of Order m
Key words: Delay Differential Equations; Pantograph Equation of Order m; Adomian Decomposition Method; Semi-Analytical Approach.
F. Shakeri and M. Dehghan
453  Full Text
Lithium Isotope Effect Accompanying Electrochemical Insertion of Lithium into Liquid Gallium
Key words: Lithium Isotope Effects; Electrochemical Insertion; Gallium; Molecular Orbital Calculation; Reduced Partition Function Ratio.
K. Zenzai, A. Yasui, S. Yanase, and T. Oi
461  Full Text
Effect of Carbon Content on the Mechanical Properties of Medium Carbon Steels
Key words: Medium Carbon Steel; Yield Stress; Ultimate Tensile Stress; Elongation; Solid Solution Hardening.
A. Calik, A. Duzgun, O. Sahin, and N. Ucar
468  Full Text
Kekulé Structures in Fluoranthenes
Key words: Kekulé Structures; Fluoranthenes.
I. Gutman
473  Full Text
N u m b e r  6 / 7
Original Communications
Multi-Soliton Excitations and Chaotic Patterns for the (2+1)-Dimensional Breaking-Soliton System
Key words: Breaking-Soliton System; Solitary Wave Solutions; Multi-Solitons; Chaotic-Solitons.
PACS numbers: 05.45.Yv, 03.65.Ge
L.-C. Lü, S.-H. Ma, and J.-P. Fang
477  Full Text
Influence of Heat Transfer and Magnetic Field on a Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel with Partial Slip
Key words: Exact Solution; Adomian Solution; Partial Slip; Peristaltic Flow; Asymmetric Channel; Heat Transfer Analysis.
S. Nadeem and S. Akram
483  Full Text
Thermal Radiation Effects on the Flow by an Exponentially Stretching Surface: a Series Solution
Key words: Second-Grade Fluid; Porous Stretching Surface; Series Solutions.
S. Nadeem, T. Hayat, M. Y. Malik, and S. A. Rajput
495  Full Text
Symmetry Reductions and Exact Solutions of the (2+1)-Dimensional Navier-Stokes Equations
Key words: Navier-Stokes Equations; Classical Lie Symmetry Method; Optimal System; Explicit Solution.
X. Hu, Z. Dong, F. Huang, and Y. Chen
504  Full Text
Homotopy Perturbation Method for Solving Nonlinear Differential-Difference Equations
Key words: Homotopy Perturbation Method; Nonlinear Differential-Difference Equation; Discretized mKdV Lattice Equation; Discretized Nonlinear Schrödinger Equation.
M. M. Mousa and A. Kaltayev
511  Full Text
New Application of the (G'/G)-Expansion Method to Excite Soliton Structures for Nonlinear Equation
Key words: (G'/G)-Expansion Method; (2+1)-Dimensional Asymmetrical Nihnik-Novikov-Veselov System; Non-Travelling Wave Solution; Soliton Structure Excitation.
PACS numbers: 02.30.Jr, 05.45.Yv, 03.65.Ge
B.-Q. Li and Y.-L. Ma
518  Full Text
Variational Iteration Method for the Hirota-Satsuma Model Using He's Polynomials
Key words: Variational Iteration Method; He's Polynomials; Hirota-Satsuma Coupled KdV Systems.
S. T. Mohyud-Din and A. Yildirim
525  Full Text
Piecewise-Truncated Parametric Iteration Method: a Promising Analytical Method for Solving Abel Differential Equations
Key words: Piecewise-Truncated Parametric Iteration Method; Truncated Parametric Iteration Method; Parametric Iteration Method; Abel Differential Equations; Runge-Kutta Methods
PACS numbers: 02.30.Hq, 02.60.Lj
J. Saberi-Nadjafi and A. Ghorbani
529  Full Text
Stagnation Flow of a Jeffrey Fluid over a Shrinking Sheet
Key words: Stagnation Flow; Jeffrey Fluid; Shrinking Sheet; Series Solutions.
S. Nadeem, A. Hussain, and M. Khan
540  Full Text
Interplay Between Dispersion and Nonlinearity in Femtosecond Soliton Management
Key words: Inhomogeneous Nonlinear Schrödinger (NLS) Equation; Bright Femtosecond Solitons; Gauge Transformation.
PACS numbers: 02.30.Jr, 02.30.Ik, 42.81.Dp
R. Radha and V. Ramesh Kumar
549  Full Text
Computer Simulations of Ordering in a Nematogen - The Role of Dielectric Medium
Key words: Computer Simulations; Nematogen; Quantum Chemistry; Dielectric Medium.
P. L. Praveen and D. P. Ojha
555  Full Text
Thermodynamic Quantities of Square-Well Gases at Isobaric Process
Key words: Square-Well Potential; Gibbs Free Energy; Isobaric Process; Critical Constants; Enthalpy Changes of Vaporization; First- and Second-Order Phase Transition.
A. Matsumoto
561  Full Text
Energy Exchange During Grazing Collision of Two Chain Molecules
Key words: Organic Molecules; Grazing Collision; Energy Exchange; Vibrational Excitation.
A. M. Popova, V. V. Komarov, H. Jungclas, L. Schmidt, and A. Zulauf
568  Full Text
Research of a Gas Phase under Electrical Explosion of the Titan Foil in Liquid
Key words: Electrical Explosion; Hydrogen.
L. I. Urutskoev, D. V. Filippov, A. A. Rukhadze, V. P. Bystrov, Y. P. Dontsov, V. S. Parbuzin, and A. V. Steblevsky
573  Full Text
Investigations on the Spin Hamiltonian Parameters and the Local Structures for Various Rh2+ Centers in NaCl
Key words: Crystal-Fields and Spin Hamiltonians; Electron Paramagnetic Resonance (EPR); Rh2+; NaCl.
H.-M. Zhang, S.-Y. Wu, P. Xu, and L.-L. Li
591  Full Text
Resonant Transfer Excitation of Fluorine-Like Mo33+ Ion
Key words: Atomic Data; Atomic Processes.
H. Ramadan and S. Elkilany
599  Full Text
Ion Beam Emission within a Low Energy Focus Plasma (0.1 kJ) Operating with Hydrogen
Key words: Energetic Ions; Plasma Focus Time of Flight; Charging Voltage.
G. M. El-Aragi
606  Full Text
A Chaotic Map and Data Communication
Key words: Chaotic Maps; Communication Schemes; Bit Sequence.
W.-H. Steeb and Y. Hardy
613  Full Text
N u m b e r  8
Original Communications
Is the Phase of Plane Waves an Invariant?
Key words: Special Relativity; Phase Invariance; Lorentz Transformation; Lorentz-Covariant; Negative Frequency.
PACS number: 03.30.+p
Y.-S. Huang
615  Full Text
Long-Wave Instabilities of Viscoelastic Fluid Film Flowing Down an Inclined Plane with Linear Temperature Variation
Key words: Thin Film; Viscoelastic Fluid; Finite Amplitude Stability Analysis; Marangoni Instability.
PACS numbers: 47.15.gm, 47.15.fe, 6.35+z, 47.20.Dr
A. Mukhopadhyay and S. Haldar
618  Full Text
New Travelling Wave Solutions of Burgers Equation with Finite Transport Memory
Key words: Travelling Wave Solutions; Time-Delayed Burgers Equation; Tanh-Function Method; Exp-Function Method; Burgers-Fisher Equation; Homotopy Perturbation Method.
2000 AMS Subject Classification: 35L70, 35C20, 35C05
R. Sakthivel, C. Chun, and J. Lee
633  Full Text
On Characterization of Time-Like Horizontal Biharmonic Curves in the Lorentzian Heisenberg Group Heis3
Key words: Heisenberg Group; Biharmonic Curve; Helices; Horizontal Curve.
Mathematics Subject Classification (2000): 58E20
E. Turhan and T. Körpinar
641  Full Text
Periodic Wave Solutions of a Generalized KdV-mKdV Equation with Higher-Order Nonlinear Terms
Key words: GKdV-mKdV Equation; Homogeneous Balance Method; New Auxiliary Equation Method; ODE with Higher-Degree Nonlinear Terms; Periodic Wave Solutions; Solitary Wave Solutions.
PACS numbers: 03.65.Ge, 47.35.Fg, 02.30.Jr, 03.65.Fd
Z.-L. Li
649  Full Text
Adomian Decomposition Method for Approximating the Solutions of the Bidirectional Sawada-Kotera Equation
Key words: Adomian Decomposition Method; Bidirectional Sawada-Kotera Equation; Adomian Polynomials.
PACS numbers: 02.30.Jr; 02.60.Cb; 42.65.Tg
X.-J. Lai and X.-O. Cai
658  Full Text
Effect of an Induced Magnetic Field on the Peristaltic Motion of Phan-Thien-Tanner (PTT) Fluid
Key words: Induced Magnetic Field; PTT Fluid; Long Wavelength.
T. Hayat, S. Noreen, and N. Ali
665  Full Text
Numerical Inversion of the Abel Integral Equation using Homotopy Perturbation Method
Key words: Abel's Inversion; Homotopy Perturbation Method.
S. Kumar and O. P. Singh
677  Full Text
Magnetohydrodynamic Three-Dimensional Flow of a Second-Grade Fluid with Heat Transfer
Key words: Hall and Ion-Slip Currents; Stretching Surface; Skin Friction Coefficient; Nusselt Number.
T. Hayat and M. Nawaz
683  Full Text
Modification of Lesnic's Approach and New Analytic Solutions for Some Nonlinear Second-Order Boundary Value Problems with Dirichlet Boundary Conditions
Key words: Adomian Decomposition Method; Nonlinear Oscillator; Troesch's Problem.
A. Ebaid
692  Full Text
Heat Transfer Analysis on the Peristaltic Motion with Slip Effects
Key words: Heat Transfer; Slip Conditions; Long Wavelength Approximation.
T. Hayat and Z. Asghar
697  Full Text
The Simulation of the Two-Dimensional Ising Model on the Creutz Cellular Automaton for the Fractals Obtained by Using the Model of Diffusion-Limited Aggregation
Key words: Ising Model; Finite-Size Scaling; Cellular Automaton; Fractals.
PACS numbers: 05.50.+q, 64.60. Cn, 75.40. Cx, 75.40.Mg
Z. Merdan, M. Bayirli, and M. K. Ozturk
705  Full Text
Influence of Thermal Radiation on the Unsteady Mixed Convection Flow of a Jeffrey Fluid over a Stretching Sheet
Key words: Series Solution; Jeffrey Fluid; Heat Transfer.
T. Hayat and M. Mustafa
711  Full Text
Theoretical Study of the Absorption Spectrum and the Thermochemistry of the CF3OSO3 Radical
Key words: CF3OSO3; Absorption Spectra; Bond Dissociation Energy; Time-Dependent Density Functional Theory
C. J. Cobos and A. E. Croce
720  Full Text
The Effects of the Layer-Dependent Interaction Parameters on the Phase Diagrams and Polarizations of the Ferroelectric Thin Film
Key words: Ferroelectrics; Layer-dependent Parameters; Phase Diagrams.
PACS numbers: 68.65.Cd, 05.50.+q, 77.80.Bh
X. Zhang, B. Teng, C. Wang, Z. Lu, and X. Lu
725  Full Text
Crystallization Kinetics in Liquid Crystals with Hexagonal Precursor Phases by Calorimetry
Key words: Crystallisation; Kinetics; Hexagonal LC Phases; Precursor; Nucleation; Growth; Diffussion.
S. Padmaja, N. Ajita, M. Srinivasulu, S. R. Girish, V. G. K. M. Pisipati, and D. M. Potukuchi
733  Full Text
Raman Spectroscopic Study of a New Type of Room Temperature ZnCl2-DMSO2 Molten Salts
Key words: Raman Spectra; ZnCl2-DMSO2; Complex Ion.
C.-C. Yang and H.-Y. Hsu
745  Full Text
Volumetric, Viscometric, and Ultrasonic Properties of Liquid Mixtures of Cyclohexane with Alkanols at Different Temperatures
Key words: Cyclohexane; Alkanols; Partial Molar Volume; Partial Molar Compressibility; Flory's Statistical Theory; Interactions.
A. Ali, S. Tasneem, and F. Nabi
749  Full Text
N u m b e r  10
Original Communications
Nonlinear Stretching Flow with Thermal Radiation
Key words: Nonlinear Stretching; Radiation Effect; Porous Space; Series Solutions.
T. Hayat, R. Noureen, and T. Javed
761  Full Text
Homotopy Analysis Method for Variable Thermal Conductivity Heat Flux Gage with Edge Contact Resistance
Key words: Homotopy Analysis Method; Thermal Performance; Heat Flux Gage; Variable Thermal Conductivity; Edge Contact Resistance.
PACS numbers: 44.10.+I; 44.05.+e; 02.60.Lj
A. Aziz, F. Khani, and M. T. Darvishi
771  Full Text
A Numeric Application Using Diffusion Limited Aggregation Model for the Manganese Dendrites
Key words: Diffusion-Limited Aggregation (DLA); Crystal Structure of Minerals; Numerical Methods. PACS numbers: 61.43.Hv, 91.60.Ed, 02.60-x
M. Bayirli and H. Kockar
777  Full Text
Effects of Heat and Mass Transfer on Peristaltic Flow of Carreau Fluid in a Vertical Annulus
Key words: Peristaltic Flow; Carreau Fluid; Annulus; Perturbation Solution; Numerical Solutions.
S. Nadeem and N. Sher Akbar
781  Full Text
Solution of Fractional Diffusion Equation with a Moving Boundary Condition by Variational Iteration Method and Adomian Decomposition Method
Key words: Fractional Diffusion Equation; Moving Boundary Problem; Variational Iteration Method; Adomian Decomposition Method; Caputo Derivative.
S. Das and Rajeev
793  Full Text
Natural Convection in a Porous Medium Bounded by a Long Vertical Wavy Wall and a Parallel Flat Wall
Key words: Natural Convection; Porous Medium; Wavy Wall; Perturbation Method.
2000 AMS Mathematic Subject Classification: 76R10, 76S05
A. K. Tiwari and A. K. Singh
800  Full Text
Application of the Homotopy Analysis Method for Systems of Differential-Difference Equations
Key words: Homotopy Analysis Method; Relativistic Toda Lattice System.
PACS numbers: 02.30.Xx; 02.30.Mv; 02.60.Lj
Q. Wang
811  Full Text
Odd-Soliton-Like Solutions for the Variable-Coefficient Variant Boussinesq Model in the Long Gravity Waves
Key words: Variable-Coefficient Variant Boussinesq Model; Odd-Soliton-Like Solutions; N-Fold Darboux Transformation; Vandermonde-Like Determinant; Symbolic Computation.
PACS numbers: 02.30.Ik, 02.30.Jr, 05.45.Yv
L. Wang, Y.-T. Gao, and X.-L. Gai
818  Full Text
Rotating Flow of a Micropolar Fluid Induced by a Stretching Surface
Key words: Micropolar Fluid; Stretching Sheet; Series Solution; HAM.
T. Javed, I. Ahmad, Z. Abbas, and T. Hayat
829  Full Text
Heat Transfer for Flow of a Third-Grade Fluid between Two Porous Plates
Key words: Series Solutions; Third-Grade Fluid; Homotopy Analysis Method.
T. Hayat, Rahila Naz, and M. Sajid
837  Full Text
A Computational NMR Study of Boron Phosphide Nanotubes
Key words: Boron Phosphide; Nanotube; Density Functional Theory; Chemical Shielding.
M. Mirzaei
844  Full Text
Application of the Laplace Decomposition Method to Nonlinear Homogeneous and Non-Homogenous Advection Equations
Key words: Laplace Decomposition Method; Nonlinear Advection Equation; Adomian Polynomials.
Y. Khan and F. Austin
849  Full Text
Molecular Association of Tetramethylurea and Chlorobenzene Molecules in Microwave Frequency Range
Key words: Tetramethylurea (TMU); Chlorobenzene (CB); Binary Mixture; Microwave Absorption; Dielectric Relaxation.
V. Sharma and N. Thakur
854  Full Text
Phase Diagram and Electrical Conductivity of the PrBr3-CsBr Binary System
Key words: Phase Diagram; Praseodymium Bromide; Cesium Bromide; Electrical Conductivity.
L. Rycerz, E. Ingier-Stocka, M. Berkani, and M. Gaune-Escard
859  Full Text
Kirchhoff Index of Cyclopolyacenes
Key words: Resistance Distance; Kirchhoff Index; Laplacian Spectrum; Cyclopolyacenes.
Y. Wang and W. Zhang
865  Full Text
Fictitious-Time Wave-Packet Dynamics in Atomic Systems
Key words: Hydrogen Atom in External Magnetic and Electric Fields; Coulomb Potential; Gaussian Wave Packets.
32.80.Ee, 32.60.+i, 31.15.-p, 05.45.-a
T. Fab\vci\vc, J. Main, and G. Wunner
871  Full Text
A Study of Spin-Hamiltonian Parameters and Defect Structure for Co2+ Ion in the Tetragonal Zn2+ Site of Ba2ZnF6 Crystal
Key words: Electron Paramagnetic Resonance (EPR); Crystal- and Ligand-Field Theory; Defect Structure; Co2+; Ba2ZnF6. A:B.-X. Li, W.-C. Zheng, and W.-Q. Yang
877  Full Text
Diffusivity-Mobility Relationship for Heavily Doped Semiconductors with Non-Uniform Band Structures
Key words: Semiconductors; Heavy Doping; Diffusivity-Mobility Relationship.
A. Khan and A. Das
882  Full Text
N u m b e r  11
Original Communications
Series Solutions for the Peristaltic Flow of a Tangent Hyperbolic Fluid in a Uniform Inclined Tube
Key words: Series Solutions; Peristaltic Flow; Tangent Hyperbolic Fluid; Uniform Tube.
S. Nadeem and N. Sher Akbar
887  Full Text
On the Conversion of Partial Differential Equations
Key words: Homotopy Perturbation Method; Transformation; Partial Differential Equations.
S. T. Mohyud-Din
896  Full Text
Effects of Variable Viscosity on the Peristaltic Motion in a Third-Order Fluid
Key words: Variable Viscosity; Shooting Method; Comparison.
S. Nadeem, N. S. Akbar, and T. Hayat
901  Full Text
Numerical Solutions of Peristaltic Flow of a Jeffrey-Six Constant Fluid with Variable Magnetohydrodynamic
Key words: Peristaltic Flow; Jeffrey-Six Constant Fluid; Endoscope; HAM Solution; Numerical Solution; Variable MHD.
S. Nadeem and N. S. Akbar
911  Full Text
On Some New Seminormed Sequence Spaces Defined by a Sequence of Orlicz Functions
Key words: Difference Sequence Spaces; Orlicz Function; Seminorm.
AMS 2000: 40A05, 40C05, 46A45
Ç. A. Bekta\cs and G. At\ici
919  Full Text
Exp-Function Method for N-Soliton Solutions of Nonlinear Differential-Difference Equations
Key words: Nonlinear Differential-Difference Equations; Exp-Function Method; N-Soliton Solutions.
S. Zhang and H.-Q. Zhang
924  Full Text
The Solution of the Linear Fractional Partial Differential Equations Using the Homotopy Analysis Method
Key words: Homotopy Analysis Method (HAM); Analytical Solution; Fractional Partial Differential Equations (FPDEs).
M. Dehghan, J. Manafian, and A. Saadatmandi
935  Full Text
Effects of Thermal Radiation on Unsteady Magnetohydrodynamic Flow of a Micropolar Fluid with Heat and Mass Transfer
Key words: Unsteady Flow; Micropolar Fluid; MHD Flow; Mass Transfer.
T. Hayat and M. Qasim
950  Full Text
Effect of Heat Transfer on Magnetohydrodynamic Axisymmetric Flow Between Two Stretching Sheets
Key words: Heat Transfer; Porous Medium; Skin Friction Coefficient; Nusselt Number.
T. Hayat and M. Nawaz
961  Full Text
Effects of Heat Transfer on the Stagnation Flow of a Third-Order Fluid over a Shrinking Sheet
Key words: Stagnation Flow; Heat Transfer; Third Order Fluid; Shrinking Sheet; Homotopy Analysis Method.
S. Nadeem, A. Hussain, and K. Vajravelu
969  Full Text
Analysis of Diffraction of Dominant Mode in an Acoustic Impedance Loaded Trifurcated Duct
Key words: Sound Diffraction; Lined Duct; Integral Transform; Wiener-Hopf Technique; Expansion Coefficients; Pole Removal Technique.
M. Ayub, M. H. Tiwana, and A. B. Mann
995  Full Text
The Spectral, Structral and Thermal Characterizations of Dimethyl Sulphoxide, Pyridine, Ethanolamine and N-Methyl Formamide Intercalated Kaolinites
Key words: Kaolinite; Intercalation; XRD; Thermal Analysis; Inner-Surface Hydroxyls.
B. Caglar, B. Afsin, E. Eren, A. Tabak, C. Cirak, and O. Cubuk
1009  Full Text
Ab Initio Estimation of NbF6-, NbClF62-, and NbF72- Complexes Stability in Alkali Chloride Melts
Key words: Ab Initio Calculations; Chloride-Fluoride Niobium Complex; Outersphere Cations; Structure Parameters.
V. G. Kremenetsky, S. A. Kuznetsov, O. V. Kremenetskaya, V. V. Soloviev, L. A. Chernenko, and A. D. Fofanov
1020  Full Text
N u m b e r  12
Original Communications
Numerical Solutions of Fourth-Order Fractional Integro-Differential Equations
Key words: Homotopy Perturbation Method; Boundary Value Problems; Integro-Differential Equations; Fractional Derivative; Caputo Sense.
A. Y\ild\ir\im, S. An\il Sezer, and Y. Kaplan
1027  Full Text
Analytical Approach to a Slowly Deforming Channel Flow with Weak Permeability
Key words: Homotopy Perturbation Method; Analytical Solution; Deformable Channel; Viscous Fluid; Permeable Walls.
S. T. Mohyud-Din, A. Y\ild\ir\im, and S. A. Sezer
1033  Full Text
Application of the Exp-Function Method for Solving Some Evolution Equations with Nonlinear Terms of any Orders
Key words: Exp-Function Method; Generalized Burgers Equation.
A. Ebaid
1039  Full Text
Variational Iteration Method for Delay Differential Equations Using He's Polynomials
Key words: Variational Iteration Method; He's Polynomials; Delay Differential Equations; Exact Solutions.
S. T. Mohyud-Din and A. Yildirim
1045  Full Text
New Soliton and Periodic Solutions for Two Nonlinear Physical Models
Key words: Burgers-Kadomtsev-Petviashvili Equation; Solitonary Solutions; Vakhnenko Equation; Travelling Wave Solutions; Exp-Function Method.
C. Chun and R. Sakthivel
1049  Full Text
An Alternative Approach to Differential-Difference Equations Using the Variational Iteration Method
Key words: Variational Iteration Method; Discrete Korteweg-de Vries Equation; Discrete Volterra Equation; Lattice Equation.
N. Faraz, Y. Khan, and F. Austin
1055  Full Text
Extension of the Homotopy Perturbation Method for Solving Nonlinear Differential-Difference Equations
Key words: Homotopy Perturbation Method; Discretized mKdV Lattice Equation; Discretized Nonlinear Schrödinger Equation.
M. M. Mousa, A. Kaltayev, and H. Bulut
1060  Full Text
Travelling Wave Solutions for the Burgers Equation and the Korteweg-de Vries Equation with Variable Coefficients Using the Generalized (G'/G)-Expansion Method
Key words: Nonlinear Evolution Equations; Generalized (G'/G)-Expansion Method; Hyperbolic Solution; Trigonometric Solution; Rational Solution; Burgers Equation; KdV Equation.
E. M. E. Zayed and M. A. M. Abdelaziz
1065  Full Text
Generalized Couette Flow of a Third-Grade Fluid with Slip: The Exact Solutions
Key words: Third-Grade Fluid; Nonlinear Equations; Nonlinear Slip Conditions; Exact Solutions.
R. Ellahi, T. Hayat, and F. M. Mahomed
1071  Full Text
Homotopy Perturbation Method for One-Dimensional Hyperbolic Equation with Integral Conditions
Key words: Homotopy Perturbation Method; Wave Equation; Non-Standard Boundary Conditions; Closed Form Solution; Hyperbolic Partial Differential Equation.
S. T. Mohyud-Din, A. Y\ild\ir\im, and Y. Kaplan
1077  Full Text
Exact Solutions of Flows of an Oldroyd 8-Constant Fluid with Nonlinear Slip Conditions
Key words: Nonlinear Conditions; Analytic Solutions; Oldroyd 8-Constant Fluid.
R. Ellahi
1081  Full Text
Viscous Flow with Second-Order Slip Velocity over a Stretching Sheet
Key words: Similarity Solution; Stretching Surface; Navier-Stokes Equations; Analytical Solution; Exact Solution; Slip Flow.
T. Fang and A. Aziz
1087  Full Text
A Modified Adomian Decomposition Method for Solving Higher-Order Singular Boundary Value Problems
Key words: Adomian Decomposition Method; Singular Boundary Value Problems; Higher-Order Ordinary Differential Equation; Modified Adomian Decomposition Method; He's polynomials; Homotopy Perturbation Method.
PACS number: 02.60.Lj
W. Kim and C. Chun
1093  Full Text
Analytic Treatment for (2+1)-Dimensional Kortweg-de Vries-Like and Kadomtsev-Petviashvili-Like Equations
Key words: Hirota Bilinear Method; Kortweg-de Vries Equation; Kadomtsev-Petviashvili Equation.
A.-M. Wazwaz
1101  Full Text
Non-Perturbative Solution of the Magnetohydrodynamic Flow over a Nonlinear Stretching Sheet by Homotopy Perturbation Method-Padé Technique
Key words: Nonlinear Stretching; Padé Approximation; Homotopy Perturbation Method; Magnetohydrodynamic Flow; Non-Perturbative Solution.
A. Y\ild\ir\im and S. A. Sezer
1106  Full Text
Magnetohydrodynamic Flow and Mass Transfer of a Jeffery Fluid over a Nonlinear Stretching Surface
Key words: Jeffery Fluid; Chemical Reaction; Series Solutions.
T. Hayat, M. Qasim, Z. Abbas, and A. A. Hendi
1111  Full Text
Slip and Heat Transfer Effects on Peristaltic Motion of a Carreau Fluid in an Asymmetric Channel
Key words: Heat Transfer; Slip Condition; Carreau Fluid; Asymmetric Channel.
T. Hayat, N. Saleem, and A. A. Hendi
1121  Full Text
Slip Effects on the Magnetohydrodynamic Peristaltic Flow of a Maxwell Fluid
Key words: Maxwell Fluid; Compliant Walls; Slip Effects.
T. Hayat, S. Hina, and A. A. Hendi
1128  Full Text
Variational Iteration Method for Nonlinear Age-Structured Population Models Using Auxiliary Parameter
Key words: Variational Iteration Method; Auxiliary Parameter; Nonlinear Age-Structured Population Models.
S. M. M. Hosseini, S. T. Mohyud-Din, and H. Ghaneai
1137  Full Text
Quantum Screening Effects on the Entanglement Fidelity for Elastic Collisions in Electron-Ion Quantum Plasmas
Key words: Quantum Screening; Entanglement Fidelity; Electron-Ion Quantum Plasmas.
D.-H. Ki and Y.-D. Jung
1143  Full Text
Size Effects on the Scattering of Electron and Spherical Dust Grain in Dusty Plasmas
Key words: Size Effects; Electron-Dust Grain Scattering; Dusty Plasmas.
D.-H. Ki and Y.-D. Jung
1147  Full Text
Fusion and Annihilation of Solitary Waves for a (2+1)-Dimensional Nonlinear System
Key words: New Projective Equation; (2+1)-Dimensional BKK System; Fusion; Annihilation.
PACS numbers: 05.45.Yv, 03.65.Ge
J.-Y. Qiang, S.-H. Ma, Q.-B. Ren, and S.-H. Wang
1151  Full Text
Study of Self Assembly Systems Formed by Malic Acid and Alkyloxy Benzoic Acids
Key words: Malic Acid; p-n-Alkyloxy Benzoic Acid; Smectic X* Ordering.
V. N. Vijayakumar and M. L. N. Madhu Mohan
1156  Full Text
The Filtering Function of a Completely Open Resonance Cavity Including Left-Handed Materials
Key word: Photonic Band Gap Materials.
PACS numbers: 42.70.Qs, 41.20.Jb, 78.20.Ci
G. Yu
1165  Full Text