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Contents Vol. 66a (2011)
Authors Index
 

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N u m b e r  1 / 2
Original Communications
Chirped Self-Similar Solutions of a Generalized Nonlinear Schrödinger Equation
Key words: F-Expansion Technique; The Generalized Nonlinear Schrödinger Equation; Chirped Self-Similar Solutions; Propagate Self-Similarly.
PACS numbers: 03.65.Ge, 05.45.Yv
J.-X. Fei and C.-L. Zheng 		1  Full Text
Synchronizing the Noise-Perturbed Rössler Hyperchaotic System via Sliding Mode Control
Key words: Synchronization; Sliding Mode Control; Rössler Hyperchaotic System.
J. Feng, P. Yam, F. Austin, and C. Xu 		6  Full Text
Multi-Soliton-Like Solutions of a Coupled Kadomtsev-Petviashvili System
Key words: Coupled Kadomtsev-Petviashvili System; Darboux Transformation; Soliton-Like Solution; Symbolic Computation.
F.-H. Qi, B. Tian, W.-J. Liu, R. Guo, T. Xu, and H.-Q. Zhang 		13  Full Text
Separation Transformation and New Exact Solutions for the (1+N)-Dimensional Triple Sine-Gordon Equation
Key words: Separation Transformation; Triple Sine-Gordon Equation; Implicitly Exact Solution.
PACS numbers: 02.30.Ik, 03.75.Hh, 05.45.Yv
Y. Liu, J. Chen, W. Hu, and L.-L. Zhu 		19  Full Text
Peristaltic Flow in a Deformable Channel
Key words: Deformable Channel; Peristaltic Pumping.
D. N. K. Marawat and S. Asghar 		24  Full Text
The Modified (G'/G)-Expansion Method for Nonlinear Evolution Equations
Key words: Nonlinear Evolution Equations; Modified (G'/G)-Expansion Method; Hyperbolic Function Solutions; Trigonometric Function Solutions; Rational Solutions.
S. Zhang, Y.-N. Sun, J.-M. Ba, and L. Dong 		33  Full Text
Taylor-Couette Flow of an Oldroyd-B Fluid in an Annulus Due to a Time-Dependent Couple
Key words: Oldroyd-B Fluid; Velocity Field; Shear Stress; Time-Dependent Couple.
C. Fetecau, M. Imran, and C. Fetecau 		40  Full Text
On the p-Electron Content of Rings in Benzenoid Parallelograms
Key words: Benzenoid Graph; Kekulé Structure; p-Electron Partition; p-Electron Content; p-Electron Excess.
T. Došlić 		47  Full Text
Flow of Magnetohydrodynamic Micropolar Fluid Induced by Radially Stretching Sheets
Key words: Micropolar Fluid; Radial Stretching; Homotopy Analysis Solution; Skin Friction Coefficient; Couple Stress Coefficient.
T. Hayat, M. Nawaz, and A. A. Hendi 		53  Full Text
On Atom-Bond Connectivity Index
Key words: Atom-Bond Connectivity Index; Randić Connectivity Indices; First Zagreb Index; Trees.
B. Zhou and R. Xing 		61  Full Text
Analytical Evaluation of the Nonlinear Vibration of Coupled Oscillator Systems
Key words: Coupled Nonlinear Oscillators; Nonlinear Stiffness; Duffing Equation; Energy Balance Method.
M. Bayat, M. Shahidi, A. Barari, and G. Domairry 		67  Full Text
Symmetry Reductions and Exact Solutions of the Two-Layer Model in Atmosphere
Key words: Two-Layer Model Equations; Classical Lie Symmetry Method; Optimal System; Explicit Solution.
Z. Dong, F. Huang, and Y. Chen 		75  Full Text
Analysis of Fractional Nonlinear Differential Equations Using the Homotopy Perturbation Method
Key words: Homotopy Perturbation Method; Time Fractional Nonlinear Fractional Differential Equations.
M. A. Balcı and A. Yıldırım 		87  Full Text
Adomian Decomposition and Variational Iteration Methods for Solving a Problem Arising in Modelling of Biological Species Living Together
Key words: Initial Value Problems; Local Adomian Decomposition Method; Local He's Variational Iteration Method; Integro-Differential Equations; Closed Form Solution; Modelling of the Biological Species Living Together.
M. Tatari, M. Haghighi, and M. Dehghan 		93  Full Text
Compliant Wall Analysis of an Electrically Conducting Jeffrey Fluid with Peristalsis
Key words: Peristaltic Flow; Jeffrey Fluid; MHD; Compliant Walls.
T. Hayat, M. Javed, S. Asghar, and S. Mesloub 		106  Full Text
Application of Optimal Homotopy Analysis Method for Solitary Wave Solutions of Kuramoto-Sivashinsky Equation
Key words: Kuramoto-Sivashinsky Equation; Optimal Homotopy Analysis Method; Solitary Wave Solution.
PACS numbers: 02.30.Xx; 02.30.Mv; 02.60.Lj
Q. Wang 		117  Full Text
Thermal Steady States of Gases in a Gravitational Field
Key words: Gas in Gravitational Field; Effect of Gravity on Gas.
K. Kigoshi 		123  Full Text
Electrical Conductivity of SiC/Si Composites Obtained from Wood Preforms
Key words: Biomorphic; Bioceramics; SiC.
M. A. Béjar, R. Mena, and J. E. Toro 		134  Full Text
N u m b e r  3 / 4
Original Communications
A Theoretical Study on the Spin-Hamiltonian Parameters for Samarium(III) Ion in Potassium Yttrium Tungstate Crystal
Key words: Electron Paramagnetic Resonance (EPR); Crystal Field Theory; Diagonalization Method; KY(WO4)2; Sm3+.
W.-Q. Yang, W.-C. Zheng, P. Su, and H.-G. Liu 		139  Full Text
Modulational Instability and Stationary Waves for the Coupled Generalized Schrödinger-Boussinesq System
Key words: The Nonlinear Schrödinger-Boussinesq Equation; Modulational Instability; Solitary Waves.
Z.-F. Liang 		143  Full Text
Fuzzy H∞ Synchronization for Chaotic Systems with Time-Varying Delay
Key words: H∞ Synchronization; Chaotic Systems; Takagi-Sugeno (TS) Fuzzy Model; Lyapunov-Krasovskii Theory; Time-Varying Delay.
C. K. Ahn 		151  Full Text
The Variational Iteration Method for Finding Exact Solution of Nonlinear Gas Dynamics Equations
Key words: Variational Iteration Method; Gas Dynamics Equation; Analytical Solution; Nonlinear Equations.
MSCS numbers: 65M99, 35A15, 35K57
H. Jafari, Ch. Chun, and C. M. Khalique 		161  Full Text
Painlevé Analysis for Supersymmetric Extensions of the Sawada-Kotera Equation
Key words: Supersymmetric Sawada-Kotera Equation; Supersymmetric Extension; Painlevé Analysis.
L. Li, M.-X. Zhang, and S.-Q. Lv 		165  Full Text
Effects of Non-Integral Number of Peristaltic Waves Transporting Couple Stress Fluids in Finite Length Channels
Key words: Peristaltic Transport; Couple Stress Fluid; Mechanical Efficiency; Reflux Limit; Trapping Limit.
S. K. Pandey and D. Tripathi 		172  Full Text
Unsteady Peristaltic Flow of Micro-Polar Fluid in a Finite Channel
Key words: Peristalsis; Oesophagus; Micro-Polar Fluid; Mechanical Efficiency; Reflux; Trapping.
S. K. Pandey and D. Tripathi 		181  Full Text
Prediction of Layer Thickness in Molten Borax Bath with Genetic Evolutionary Programming
Key words: VC-Coating; TD Diffusion; Borax Bath; Genetic Evolutionary Programming.
F. Taylan 		193  Full Text
Dark Solitons for a Generalized Korteweg-de Vries Equation with Time-Dependent Coefficients
Key words: Dark Soliton Solution; Convecting Fluid; Variable-Coefficient KdV Equation; Solitary Wave Ansatz Method.
H. Triki and A.-M. Wazwaz 		199  Full Text
Symmetry Breaking by Electric Discharges in Water and Formation of Light Magnetic Monopoles in an Extended Standard Model (Part I)
Key words: Supersonic Spark Discharges in Water; Nuclear Transmutations.
H. Stumpf 		205  Full Text
Magnetohydrodynamic Flow of a Carreau Fluid in a Channel with Different Wave Forms
Key words: Symmetric Channel; Magnetic Field; Trapping.
T. Hayat, N. Saleem, S. Mesloub, and N. Ali 		215  Full Text
On the Fractional-Order Logistic Equation with Two Different Delays
Key words: Logistic Delay Equation; Fractional-Order Differential Equations; Stability; Existence; Uniqueness; Numerical Solution; Predictor-Corrector Method.
A. M. A. El-Sayed, H. A. A. El-Saka, and E. M. El-Maghrabi 		223  Full Text
Absolute Motion Determined from Michelson-Type Experiments in Optical Media (retracted, see Z. Naturforsch. 66a, 784 (2011))
Key words: Michelson Experiment; Dielectric Media; Drag of Light; Aether Wind.
PACS numbers: 42.25.Bs, 42.25.Hz, 42.79.Fm, 42.87.Bg, 78.20.-e
V. P. Dmitriyev 		228  Full Text
Application of Quotient Rings for Stability Analysis in Chemical Systems
Key words: Toric Geometry; Quotient Rings; Mass Action Kinetics; Chemical Reaction Networks; Stoichiometric Network Analysis.
S. Sauerbrei, A. Sensse, and M. Eiswirth 		231  Full Text
D/H and 18O/16O Isotopic Reduced Partition Function Ratios of Water Molecules around a Sodium Ion
Key words: Reduced Partition Function Ratio; Isotope Salt Effects; Sodium Ion; Hydrogen and Oxygen Isotopes.
T. Oi and A. Otsubo 		242  Full Text
Takahasi Nearest-Neighbour Gas Revisited; Stockmayer Gases with a Hard Core
Key words: Takahasi Nearest-Neighbour Gas; Stockmayer Potential; Boiling Temperature; Equation of State; Enthalpy; First-Order Phase Transition.
A. Matsumoto 		247  Full Text
Orientational Behaviour of some Novel Fluoro-Substituted Liquid Crystals as Studied by Optical Spectroscopy Methods
Key words: Fluorinated Liquid Crystals; Dichroic Dyes; Order Parameter; Electronic Absorption; Fluorescence.
A. Modlińska, D. Bauman, J. Jadżyn, and R. Da̧abrowski 		251  Full Text
N u m b e r  5
Original Communications
The Use of Homotopy Analysis Method to Solve the Time-Dependent Nonlinear Eikonal Partial Differential Equation
Key words: Homotopy Analysis Method; Eikonal Equation; Semi-Analytic Approaches; Time-Dependent Partial Differential Equations; Applications; Adomian Decomposition Method; Hamilton-Jacobi Equation.
AMS subject classifications: 74G10, 35C10, 70H20
M. Dehghan and R. Salehi 		259  Full Text
Group Invariant Solution for a Liquid Film on the Surface of a Sphere
R. Naz, D. P. Mason, and I. Naeem 		272  Full Text
Analytical Approximate Solution of Space-Time Fractional Diffusion Equation with a Moving Boundary Condition
Key words: Fractional Diffusion Equation; Moving Boundary Problem; Fractional Solute Release; Error Function; Homotopy Perturbation Method.
S. Das, R. Kumar, and P. K. Gupta 		281  Full Text
Solution of the Black-Scholes Equation for Pricing of Barrier Option
Key words: Black-Scholes Equation; Barrier Option; Variational Iteration Method (VIM); Homotopy Perturbation Method (HPM); Semi-Analytic Approach; Stochastic Differential Equation (SDE); Mathematical Finance.
AMS Subject Classifications: 65M99
M. Dehghan and S. Pourghanbar 		289  Full Text
Conservation Laws Related to the Kac-Moody-Virasoro Structure of the Potential Nizhnik-Novikov-Veselov Equation
Key words: Potential Nizhnik-Novikov-Veselov Equation; Lie Point Symmetry Group; Conservation Laws.
02.30.Jr, 47.10.ab, 02.30.Ik
X.-Z. Liu 		297  Full Text
Double-Diffusive Magneto Convection in a Compressible Couple-Stress Fluid Through Porous Medium
Key words: Double-Diffusive Convection; Compressible Couple-Stress Fluid; Magnetic Field; Porous Medium.
P. Kumar and H. Mohan 		304  Full Text
Simple Method of Calculating the Magnetoresistance Effect in Metals
Key words: Metals; Magnetoresistance Effect; Relaxation Time.
S. Olszewski and M. Gluzinski 		311  Full Text
Symmetry Analysis of Boundary Layer Equations of an Upper Convected Maxwell Fluid with Magnetohydrodynamic Flow
Key words: Upper Convected Maxwell Fluid; Boundary Layers; Stretching Sheet; Magnetohydrodynamic (MHD) Flow; Lie Group Theory; Group Classification.
G. Değer, M. Pakdemirli, and Y. Aksoy 		321  Full Text
Symmetry Breaking by Electric Discharges in Water and Formation of Light Magnetic Monopoles in an Extended Standard Model (Part II)
Key words: Parafermionic Boson and Lepton States; Leptonic Magnetic Monopoles.
H. Stumpf 		329  Full Text
Interaction of Some Amino Acids with Sodium Dodecyl Sulphate in Aqueous Solution at Different Temperatures
Key words: Density; Viscosity; Refractive Index; Amino Acids.
A. Ali, F. A. Itoo, and N. H. Ansari 		339  Full Text
Energy Band Structure and Its Characteristics of a Two-Dimensional Metallic Photonic Crystal
Key words: Metallic Photonic Crystal; FDTD; Eigenmode; Band Structure.
X. Bao and D. Yao 		345  Full Text
Equilibrium Geometries, Stabilities, and Electronic Properties of the Bimetallic Ag2-doped Sin (n=1–11) Clusters: A Density-Functional Investigation
Key words: Ag-Si Cluster; Geometric Configuration; Density Function Method.
Y.-R. Zhao, X.-Y. Kuang, S.-J. Wang, Y.-F. Li, and P. Lu 		353  Full Text
The Orderly Network Structure of M >= 7 Strong Earthquake Chain and its Prediction in Xinjiang Region of China
Key words: Xinjiang and its Neighbourhood; Strong Earthquake Chain; Informational Orderly Network Structure; Complex Networks; Strong Earthquake Prediction.
K. Men and W. Liu 		363  Full Text
A Density Functional Study of LinCl (n=1–7) Clusters
Key words: Clusters; Geometrical Configuration; Stability; Density Functional Theory.
Ş. Şentürk 		372  Full Text
N u m b e r  6 / 7
Original Communications
Uniqueness of the Kadomtsev-Petviashvili and Boussinesq Equations
Key words: Integrable Equations; Hirota's Bilinear Form; Three-Soliton Condition.
Pacs Numbers: 02.30.Ik, 02.30.Xx, 05.45.Yv
W.-X. Ma, A. Pekcan 		377  Full Text
Exact Solutions and Localized Excitations of Burgers System in (3+1) Dimensions
Key words: Cole-Hopf Transformation; (3+1)-Dimensional Burgers System; Solitonic Bubble; Evolutional Behaviour.
Pacs Numbers: 03.65.Ge, 05.45.Yv
C.-L. Zheng, H.-P. Zhu 		383  Full Text
Chirped Wave Solutions of a Generalized (3+1)-Dimensional Nonlinear Schrödinger Equation
Key words: (3+1)-D NLSE; Chirp; Ansatz Method; Soliton-Like Wave Solution; Quasi-Periodic Wave Solution.
Pacs Numbers: 01.55.+b, 02.30.Jr.
X.-J. Lai, X.-O. Cai 		392  Full Text
Backward Variational Approach on Time Scales with an Action Depending on the Free Endpoints
Key words: Calculus of Variations; Transversality Conditions; Time Scales; Backward Approach.
Pacs Numbers: 02.30.Xx, 02.30.Yy
Mathematics Subject Classification 2000: 49K05, 39A12
A. B. Malinowska and D. F. M. Torres 		401  Full Text
The Effects of Sine-Squared Pulse Modulation Correlated Noises on Stochastic Resonance in Single-Mode Laser
Key words: Single-Mode Laser; Stochastic Resonance; Noises.
Pacs Numbers: 42.60.Mi, 05.40.-a
Z.-Y. Wang, P.-J. Chen, and L.-Y. Zhang 		411  Full Text
Steady Flow of Maxwell Fluid with Convective Boundary Conditions
Key words: Heat Transfer; Convective Boundary Conditions; Stretching Surface.
T. Hayat, S. A. Shehzad, M. Qasim, and S. Obaidat 		417  Full Text
Approximate Analytical Solution of a Nonlinear Boundary Value Problem and its Application in Fluid Mechanics
Key words: Adomian Decomposition Method; Power-Law Fluid.
A. Ebaid 		423  Full Text
Effects of Viscous Dissipation and Joule Heating on Natural Convection Flow of a Viscous Fluid from Heated Vertical Wavy Surface
Key words: Wavy Surface; Magnetohydrodynamic; Viscous Dissipation; Chebyshev Collocation Method.
Pacs Numbers: 47.11.-j, 47.11.kb
N. S. Elgazery and N. Y. A. Elazem 		427  Full Text
On Characterization Canal Surfaces around Timelike Horizontal Biharmonic Curves in Lorentzian Heisenberg Group Heis3
Key words: Canal Surface; Biharmonic Curve; Heisenberg Group.
Mathematics Subject Classification 2000: 31B30, 58E20
E. Turhan, T. Körpinar 		441  Full Text
Enhanced Mixing at Low Reynolds Numbers Through Elastic Turbulence
Key words: Maxwell-Model Fluid; Turbulence; Mixing.
C. Goddard and O. Hess 		450  Full Text
Crystal-Field Energy Levels of Trivalent Erbium Ion in Cubic Symmetry
Key words: Crystal Field; Energy Level; Erbium; Rare Earth.
S. Laachir, M. Moussetad, R. Adhiri, and A. Fahli 		457  Full Text
N u m b e r  8 / 9
Original Communications
An Approximate Analytical Approach to Investigate the Stability and Response of Holonomic Problems in Classic Dynamics by Means of the Homotopy Perturbation Method
Key words: Homotopy Perturbation Method; Lagrange Method; Nonlinear Dynamics; Phase Plane.
Amin Kimiaeifar		 461  Full Text
Near Integrability in Low Dimensional Gross–Neveu Models
Key words: Normal Forms; Kolmogorov–Arnold–Moser Theory; Non-Integrability.
Ognyan Christov		 468  Full Text
Flow around a Triaxial Ellipsoid in a Long Circular Tube
Key words: Triaxial Ellipsoid; Cylinder; Integro-Differential Equations; Reduction Formula.
Doo-Sung Lee		 481  Full Text
The Effect of Substrate Clamping on Laminated Magnetoelectric Composite
Key words: Magnetoelectric; ME Voltage Coefficient; Clamping.
Hong-Li Guo, Hai-Min Li, Xue-Dong Li, Ding-Quan Xiao, and Jian-Guo Zhu		 489  Full Text
Magnetohydrodynamic Stagnation Point Flow with a Convective Surface Boundary Condition
Key words: Stagnation Point Flow; Magnetohydrodynamic; Convective Boundary Condition.
Khamisah Jafar, Anuar Ishak, and Roslinda Nazar		 495  Full Text
Coherent Structures in the (2 + 1)-Dimensional Nonlinear Schrödinger Equation with Time-Varying Coefficients
Key words: Nonlinear Schrödinger Equation; Similarity Transformation; Rational-Like Solution; Coherent Structure.
PACS numbers: 03.65.Ge; 05.45.Yv
Zheng-Yi Ma		 500  Full Text
Three-Dimensional Flow Arising in the Long Porous Slider: An Analytic Solution
Key words: Adomian Decomposition Method (ADM); Lubrication; Porous Slider; Reynolds Number.
Yasir Khan, Qingbiao Wu, Naeem Faraz, Ahmet Yildirim, and Syed Tauseef Mohyud-Din		 507  Full Text
Squeeze Film Problems of Long Partial Journal Bearings for Non-Newtonian Couple Stress Fluids with Pressure-Dependent Viscosity
Key words: Partial Bearings; Pressure-Dependent Viscosity; Non-Newtonian Fluids; Squeeze Films.
Jaw-Ren Lin, Li-Ming Chu, Chi-Ren Hung, and Rong-Fang Lu		 512  Full Text
Numerical Solutions of Systems of High-Order Linear Differential-Difference Equations with Bessel Polynomial Bases
Key words: System of Differential-Difference Equations; Bessel Polynomials and Series; Bessel Polynomial Solutions; Bessel Matrix Method; Collocation Points.
Şuayip Yüzbaşı, Niyazi Şahin, and Ahmet Yıldırım		 519  Full Text
Exact Solutions of the Dirac Equation with Coulomb plus a Novel Angle-Dependent Potential
Key words: Dirac Equation; Coulomb Potential; Novel Angle-Dependent Potential; Nikiforov–Uvarov Method.
PACS numbers: 03.65.Fd; 02.30.Pm; 03.65.Ge
Majid Hamzavi, and A. A. Rajabi		 533  Full Text
Comparison of Numerical Methods for Nano Boundary Layer Flow
Key words: Chebyshev Collocation Method; Nano Boundary Layer.
Nader Y. Abd Elazem, and Abdelhalim Ebaid		 539  Full Text
Transition Energies of Ytterbium (Z = 70)
Key words: MCHF Method; HFR Method; Energy Levels; Relativistic Corrections.
Betül Karaçoban, and Leyla Özdemir		 543  Full Text
Reductions and Solutions of Two Types of Coupled Nonlinear Evolution Equations in Optical Fibers and Fluid Dynamics
Key words: Coupled Nonlinear Schrödinger Equations; Coupled Burgers-Type Equations; Dependent-Variable Transformation; Symbolic Computation; Soliton.
PACS numbers: 02.30.Ik; 02.30.Jr; 04.20.Jb; 05.45.Yv; 02.70.Wz
Li-Cai Liu, Bo Tian, Bo Qin, Xing Lü, Zhi-Qiang Lin, and Wen-Jun Liu		 552  Full Text
Study of the Electron Paramagnetic Resonance Parameters for Copper Ions in Lead Titanate Crystal
Key words: Electron Paramagnetic Resonance (EPR); Complete Diagonalization Method (CDM); PbTiO3:Cu2+.
PACS numbers: 76.30Fc; 71.55.-i; 61.72.Ww
Liu Li, and Lin-Hua Xie		 559  Full Text
Single Crystal Charge Density Studies of Thermoelectric Material Indium Antimonide
Key words: Electron Density; InSb; Local Structure; Thermoelectric; XRD; MEM.
Muthaian Charles Robert, Bandarinathan Subha, and Ramachandran Saravanan		 562  Full Text
18O/16O and D/H Isotopic Preference in Hydration Spheres of Alkali Metal Ions
Key words: Reduced Partition Function Ratio; Isotope Salt Effects; Hydrogen and Oxygen Isotopes; Alkali Metal Ions; Hydration Spheres.
Takao Oi		 569  Full Text
Time Dependence of Current–Voltage Characteristics of Pb/p-Si Schottky Diode under Hydrostatic Pressure
Key words: Schottky Barrier Diode; Barrier Height; Fermi Level Pinning; Metal Induced Gap States (MIGS) Model; Pressure Coefficient.
Nazim Ucar, Ahmet Faruk Özdemir, Durmus Ali Aldemir, and Güven Çankaya		 576  Full Text
N u m b e r  10 / 11
Original Communications
Analytic Solution of Fractional-Order Heat- and Wave-Like Equations Using Generalized n-dimensional Differential Transform Method
Key words: Generalized n-Dimensional Differential Transform Method; n-Dimensional Fractional Heat- and Wave-Like Equation; Caputo Fractional Derivative.
Mathematics Subject Classification 2000: 35L05; 35C05; 35Q80.
Vipul K. Baranwal, Ram K. Pandey, Manoj P. Tripathi, and Om P. Singh		 581  Full Text
A New Method for Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space Based on Radial Basis Functions
Key words: Third-Grade Fluid; Porous Half Space; Radial Basis Functions; Positive Definite RBFs; Collocation Method.
Mathematics Subject Classification 2000: 34B15; 34B40
Saeed Kazem, Jamal Amani Rad, Kourosh Parand, and Saied Abbasbandy		 591  Full Text
Homotopy Analysis Method for Ablowitz–Ladik Lattice
Key words: Homotopy Analysis Method (HAM); Ablowitz–Ladik Lattice System.
Benny Y. C. Hon, Engui Fan, and Qi Wang		 599  Full Text
Thermal Radiation Effects on the Mixed Convection Stagnation-Point Flow in a Jeffery Fluid
Key words: Mixed Convection; Stagnation-Point Flow; Thermal Radiation; Jeffery Fluid; Series Solutions.
Tasawar Hayat, Sabir Ali Shehzad, Muhammad Qasim, and Saleem Obaidat		 606  Full Text
N-tangle, Entangled Orthonormal Basis, and a Hierarchy of Spin Hamilton Operators
Key words: Entanglement; Spin Hamilton Operators; Orthonormal Basis; Cosine–Sine Decomposition.
Willi-Hans Steeb, and Yorick Hardy		 615  Full Text
A New Approach to Van der Pol’s Oscillator Problem
Key words: Laplace Decomposition Method; Oscillator Differential Equation; He’s Polynomials.
Yasir Khan, M. Madani, A. Yildirim, M. A. Abdou, and Naeem Faraz		 620  Full Text
Multiple Soliton Solutions for a Variety of Coupled Modified Korteweg–de Vries Equations
Key words: Coupled mKdV Equation; Hirota Bilinear Method; Hietarinta Approach; Multiple Soliton Solutions; Multiple Singular Soliton Solutions; Resonance.
Abdul-Majid Wazwaz		 625  Full Text
Variational Approach to Impulsive Differential Equations Using the Semi-Inverse Method
Key words: Impulsive; Variational Principle; Semi-Inverse Method.
Ji-Huan He		 632  Full Text
Unsteady Three-Dimensional Flow in a Second-Grade Fluid Over a Stretching Surface
Key words: Unsteady Flow; Second-Grade Fluid; Homotopy Solution.
Tasawar Hayat, Ambreen Safdar, Muhammad Awais, and Awatif A. Hendi		 635  Full Text
Laser-Induced Breakdown Spectroscopy of Molten Metals: Influence of Sample Temperature
Key words: Laser-Induced Breakdown Spectroscopy; Molten Metals; Sample Temperature.
Tomáš Vaculovič, Zbyněk Zvěřina, Vítězslav Otruba, and Viktor Kanický		 643  Full Text
Viscosity of Molten Rare Earth Metal Trichlorides II. Cerium Subgroup
Key words: Viscosity; Molten Salts; Rare Earths; Chlorides.
Alexei Potapov, and Yuzuru Sato		 649  Full Text
Phase Transition and Elastic Properties of Zinc Sulfide Under High Pressure from First Principles Calculations
Key words: High Pressure; Structural Transition; Zinc Sulfide.
Dai Wei, Song Jin-Fan, Wang Ping, Lu Cheng, Lu Zhi-Wen, and Tan Xiao-Ming		 656  Full Text
Phase Diagrams of Mesogenic Binary Systems of Cobalt(II) and Univalent Metal Octanoates
Key words: Liquid Crystal; Glass; Metal Alkanoate; Phase Diagram.
Inna I. Tokmenko, Tatyana A. Mirnaya, and Galina G. Yaremchuk		 661  Full Text
Electrochemical Behaviour of Hydrogen in Low-Viscosity Phosphonium Ionic Liquids
Key words: Ionic Liquid; Phosphonium Cations; Hydrogen; Diffusion Coefficients.
M. Matsumiya, K. Tsunashima, and S. Kodama		 668  Full Text
Genetic Evolutionary Approach for Cutting Forces Prediction in Hard Milling
Key words: Cutting Forces; Hard Material Milling; Genetic Evolutionary Programming.
Fatih Taylan, and M. Cengiz Kayacan		 675  Full Text
Research on Prediction of Three Great Earthquakes During the Beginning of the 21st Century in the Northern Xizang Plateau
Key words: Northern Xizang Plateau; Informational Ordered Network Structure; Kunlunshan M8.1 Earthquake; Wenchuan M8.0 Earthquake; Yushu M7.1 Earthquake; Prediction of Great Earthquakes.
Kepei Men		 681  Full Text
Inner-Resonance for a Coupled Oscillator Arising in a Cubic Nonlinear Packaging System with Critical Component
Key words: Resonance; Cushion; Nonlinear Oscillator.
Jun Wang, Fang Duan, Rui-Hua Yang, Zheng-Biao Li, Li-Xin Lu, and Hong Xiang		 692  Full Text
Note
Autonomous Dynamical Systems, Explicitly Time Dependent First Integrals, and Gradient Systems
Key words: Dynamical System; Time Dependent First Integrals; Gradient Systems.
Willi-Hans Steeb		 696  Full Text
Erratum
The Effect of Substrate Clamping on Laminated Magnetoelectric Composite, Z. Naturforsch. 66a, 489 – 495 (2011).
Hong-Li Guo, Hai-Min Li, Xue-Dong Li, Ding-Quan Xiao, and Jian-Guo Zhu
698  Full Text
N u m b e r  12
Original Communications
Identities for Eigenvalues of the Schrödinger Equation with Energy-Dependent Potential
Key words: Schrödinger Equation; Regularized Trace Formula.
Mathematics Subject Classification 2000: 34B24; 34L20; 35K57; 45C05
Chuan Fu Yang		 699  Full Text
Stagnation-Point Flow over an Exponentially Shrinking/Stretching Sheet
Key words: Stagnation-Point; Exponentially Shrinking; Boundary Layer; Heat Transfer; Dual Solutions.
Sin Wei Wong, Md. Abu Omar Awang, and Anuar Ishak		 705  Full Text
Multi-Soliton Solutions for an Inhomogeneous Nonlinear Schrödinger–Maxwell–Bloch System in the Erbium-Doped Fiber
Key words: Erbium-Doped Fiber; Inhomogeneous Nonlinear Schrödinger-Maxwell-Bloch System; Evolution and Interaction of Solitons; Multi-Soliton Solutions; Symbolic Computation.
Ming Wang, Wen-Rui Shan, Xing Lü, Bo Qin, and Li-Cai Liu		 712  Full Text
Bifurcation Behaviour of the Travelling Wave Solutions of the Perturbed Nonlinear Schrödinger Equation with Kerr Law Nonlinearity
Key words: NLSE; Kerr Law Nonlinearity; Bifurcation; Travelling Wave Solutions.
PACS numbers: 02.30.Jr; 02.30.Oz; 04.20.Jb
Zai-Yun Zhang, Xiang-Yang Gan, and De-Ming Yu		 721  Full Text
Localized Nonlinear Waves in Nonlinear Schrödinger Equation with Nonlinearities Modulated in Space and Time
Key words: Nonlinear Schrödinger Equation; Time- and Space-Modulated Nonlinearities; Solitons; Bose–Einstein Condensates.
Junchao Chen, and Biao Li		 728  Full Text
Fast and High Accuracy Numerical Methods for the Solution of Nonlinear Klein–Gordon Equations
Key words: Klein–Gordon Equation; Exponential Time Differencing; Integrating Factor; Spectral Methods; High Accuracy; Soliton; Conservation of Energy.
Akbar Mohebbi, Zohreh Asgari, and Alimardan Shahrezaee		 735  Full Text
Some Unsteady Flows of a Jeffrey Fluid between Two Side Walls over a Plane Wall
Key words: Exact Solutions; Jeffrey Fluid; Side Walls.
Masood Khan, Faiza Iftikhar, and Asia Anjum		 745  Full Text
General Solutions for the Unsteady Flow of Second-Grade Fluids over an Infinite Plate that Applies Arbitrary Shear to the Fluid
Key words: General Solutions; Second-Grade Fluids; Infinite Plate; Shear Stress.
Constantin Fetecau, Corina Fetecau, and Mehwish Rana		 753  Full Text
A New Semi-Analytical Solution of the Telegraph Equation with Integral Condition
Key words: Telegraph Equation; Linear and Nonlinear Forcing; Nonlocal Boundary Condition; Series Solution; Integral Condition; Homotopy Analysis Method.
S. Abbasbandy, and H. Roohani Ghehsareh		 760  Full Text
Dynamics of Paired-Solitons in Quantum Electron Plasmas
Key words: Quantum Plasmas; Schrödinger–Poisson System; Numerical Solutions; Paired Solitons; Dynamical Stability.
PACS numbers: 05.45.Yv; 42.65.Tg; 42.81.Dp
Woo-Pyo Hong, and Young-Dae Jung		 769  Full Text
Takahasi Nearest-Neighbour Gas Revisited II: Morse Gases
Key words: Takahasi Nearest-Neighbour Gas; Morse Potential; Boiling Temperature; Equation of State; Enthalpy; First-Order Phase Transition.
Akira Matsumoto		 774  Full Text
Dipolar Order and Spin-Lattice Relaxation in a Liquid Entrapped into Nanosize Cavities
Key words: Dipolar Ordered State; Liquid; Nanosize Cavities.
PACS numbers: 76.-k
Gregory Furman, and Shaul Goren		 779  Full Text
Influence of the Grain Size on the Conduction Mechanism of Barium Strontium Titanate Thin Films
Key words: Barium Strontium Titanate (BST) Thin Film; Grain Size; Grain Boundaries; Impedance; Dielectric Properties; AC Conductivity.
Ala'eddin A. Saif, Zul Azhar Zahid Jamal, and Prabakaran Poopalan		 784  Full Text
Note
Comment on the Paper “Absolute Motion Determined from Michelson-Type Experiments in Optical Media” by V. P. Dmitriyev
Key words: Michelson–Morley Experiment; Fizeau Equations; Refractive Index.
PACS numbers: 03.30.+p
Adrian Sfarti		 791  Full Text
Editorial Note
Editorial note concerning Z. Naturforsch. 66a, 228 (2011) and the previous note Z. Naturforsch. 66a, 791 (2011)
Siegfried Grossmann		 794  Full Text