Contents Vol. 67a (2012)
Authors Index
Headings and Complete Articles in PDF
The underlined page numbers lead to the headings and the phrases Full Text behind them to the complete articles.
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Jump to: No 3 / 4, No 5, No 6 / 7, No 8 / 9,  No 10 / 11 ,  No 12 
N u m b e r  1 / 2
Original Communications
Gravity Modulation of Thermal Instability in a Viscoelastic Fluid Saturated Anisotropic Porous Medium
Key words: Viscoelastic Fluid; Thermal Rayleigh Number; Gravity Modulation; Anisotropic Porous Medium; Floquet Theory.
Beer S. Bhadauria, Atul K. Srivastava, Nirmal C. Sacheti, and Pallath Chandran
1  Full Text
Cross Focusing of two Coaxial Gaussian Beams with Relativistic and Ponderomotive Nonlinearity
Key words: Filamentation; Ponderomotive Nonlinearity; Cross Focusing.
Prerana Sharma
10  Full Text
Travelling-Wave Solution of Volterra Lattice by the Optimal Homotopy Analysis Method
Key words: Volterra Lattice; Optimal Homotopy Analysis Method; Travelling-Wave Solution.
PACS numbers: 02.30.Xx; 02.30.Mv; 02.60.Lj
Qi Wang
15  Full Text
Construction of Quasi-Periodic Wave Solutions for Differential-Difference Equation
Key words: Hirota Bilinear Method; Riemann Theta Function; Quasi-Periodic Wave Solutions.
PACS numbers: 03.65.Ge; 02.30.Ik
Y. C. Hon, and Qi Wang
21  Full Text
Nearly Unattenuated Charge Density Wave Transport in a Linear Chain Conductor Fabricated by Spark Discharge
Key words: Linear Chain Conductor; Charge Density Wave Transport; Nonlinear System far from Equilibrium; Filamentary Spark Discharge Pattern.
Peter Arendt
29  Full Text
Bright N-Soliton Solutions to the Vector Hirota Equation from Nonlinear Optics with Symbolic Computation
Key words: Vector Solitons; Vector Hirota Equation; Multi-Component Wronskian; Darboux Transformation; Symbolic Computation.
PACS numbers: 05.45.Yv; 02.30.Ik
Tao Xu, Bo Tian, and Feng-Hua Qi
39  Full Text
Magnetoresistance of Planar Heterostructures Approached on a Theoretical Basis
Key words: Two-Dimensional Interface Heterostructures; Diagonal and Hall Magnetoresistance.
PACS numbers: 72.20 My; 73.40 Kp; 73.40 Lq; 73.50 Jt
Stanisław Olszewski, and Tomasz Roliński
50  Full Text
Dynamic Properties of the Predator–Prey Discontinuous Dynamical System
Key words: Discontinuous Dynamical Systems; Predator–Prey Discontinuous Dynamical System; Existence and Uniqueness; Uniform and Local Stability; Equilibrium Points; Chaos and Bifurcations.
Ahmed M. A. El-Sayed, and Mohamed E. Nasr
57  Full Text
Classical Random Graphs with Unbounded Expected Degrees are Locally Scale-Free
Key words: Random Graph; Degree; Scale-Free; Complex Network.
PACS numbers: 89.75.Hc; 89.75.Da; 02.50.Cw
Yilun Shang
61  Full Text
Unsteady Flow of a Power–Law Fluid past a Shrinking Sheet with Mass Transfer
Key words: Unsteady Flow; Power-Law Fluid; Boundary Layer; Heat Transfer; Shrinking Sheet; Dual Solutions.
Nor Azizah Yacob, Anuar Ishak, and Ioan Pop
65  Full Text
Stagnation-Point Flow and Heat Transfer of a Casson Fluid towards a Stretching Sheet
Key words: Casson Fluid; Viscous Dissipation; Heat Transfer; Analytic Solutions.
Meraj Mustafa, Tasawar Hayat, Ioan Pop, and Awatif Hendi
70  Full Text
Relativistic Oscillators in a Noncommutative Space: a Path Integral Approach
Key words: Noncommutative Geometry; Path Integral; Klein–Gordon and Dirac Oscillators.
PACS numbers: 03.65.Pm; 03.65.Ca; 03.65.Db; 03.65.Ge
H. Benzair, M. Merad, T. Boudjedaa, and A. Makhlouf
77  Full Text
Energies and Electric Dipole Transitions for Low-Lying Levels of Protactinium IV and Uranium V
Key words: MCDF Method; Energies; Wavelengths; Oscillator Strengths; Transition Rates.
Güldem Ürer, and Leyla Özdemir
89  Full Text
Structures, Stabilities, and Electronic Properties of Gold Silicide Clusters: Comparison with Pure Silicon Clusters
Key words: Au-Si Cluster; Geometric Configuration; Density Functional Theory.
Zhi-Jian Zhou, and Yan-Fei Hu
99  Full Text
N u m b e r  3 / 4
Original Communications
Electromagnetic Waves in Variable Media
Key words: Electromagnetism; Optics; Wave Optics; Diffraction and Scattering; Polarization; Optical Materials; Optical Elements and Devices; Fiber Optics.
PACS numbers: 41.; 42.; 42.25.-p; 42.25.Fx; 42.25.Gy; 42.25.Ja; 42.70.-a; 42.79.-e; 42.81.-i
Ulrich Brosa
111  Full Text
Soliton Solutions, Bäcklund Transformation and Wronskian Solutions for the (2 + 1)-Dimensional Variable-Coefficient Konopelchenko–Dubrovsky Equations in Fluid Mechanics
Key words: (2 + 1)-Dimensional Variable-Coefficient Konopelchenko–Dubrovsky Equations; Fluid Mechanics; Soliton Solutions; Bäcklund Transformation; Wronskian Solutions; Symbolic Computation.
PACS numbers: 05.45.Yv; 47.35.Fg; 02.30.Jr; 02.30.Ik; 02.70.Wz
Peng-Bo Xu, Yi-Tian Gao, Lei Wang, De-Xin Meng, and Xiao-Ling Gai
132  Full Text
Exact Chirped Soliton Solutions for the One-Dimensional Gross–Pitaevskii Equation with Time-Dependent Parameters
Key words: Hirota Method; Gross–Pitaevskii Equation; Chirped Soliton Solution.
PACS numbers: 03.75.Lm; 05.30.Jp; 67.40.Fd
Zhenyun Qin, and Gui Mu
141  Full Text
Heat Transfer Analysis on the Magnetohydrodynamic Flow of a Non-Newtonian Fluid in the Presence of Thermal Radiation: An Analytic Solution
Key words: Thermal Radiation; Magnetohydrodynamic (MHD) Flow; Homotopy Perturbation Method (HPM).
Yasir Khan, Qingbiao Wu, Naeem Faraz, Ahmet Yildirim, and Syed Tauseef Mohyud-Din
147  Full Text
Radiative Flow with Variable Thermal Conductivity in Porous Medium
Key words: Jeffery Fluid; Variable Thermal Conductivity; Non-Isothermal Stretching Surface; Porous Medium; Thermal Radiation.
Tasawar Hayat, Sabir Ali Shehzad, Muhammad Qasim, and A. Alsaedi
153  Full Text
Application of Differential Transformation Method for Numerical Computation of Regularized Long Wave Equation
Key words: Regularized Long Wave Equation; Differential Transformation Method; Nonlinear Partial Differential Equations; Closed-Form Solution.
Mathematics Subject Classification 2000: 35G25; 35Q90
Babak Soltanalizadeh, and Ahmet Yildirim
160  Full Text
A Note on Exact Travelling Wave Solutions for the Klein–Gordon–Zakharov Equations
Key words: Klein–Gordon–Zakharov Equations (KGZEs); Travelling Wave Solutions; Modified Trigonometric Function Series Method (MTFSM).
PACS numbers: 05.45.Yv; 02.30.Jr; 42.81.Dp
Zai-Yun Zhang, Ying-Hui Zhang, Xiang-Yang Gan, and De-Ming Yu
167  Full Text
Symmetry Breaking by Electric Discharges in Water and Formation of Light Magnetic Monopoles in an Extended Standard Model (Part III)
Key words: Magnetic Monopoles; Discharges in Water, Extended Standard Model.
Harald Stumpf
173  Full Text
Trace Formulae for Matrix Integro-Differential Operators
Key words: Matrix Integro-Differential Operator; Eigenvalue; Trace formula.
Mathematics Subject Classification 2000: 34A55; 34B25; 47E05
Chuan-Fu Yang
180  Full Text
Unsteady Pulsatile Flow through a Vertical Constricted Annulus with Heat Transfer
Key words: Pulsatile Flow; Heat Transfer; Catheter; Stenosed Arteries.
Yasser Abd elmaboud, and Khaled Saad Mekheimer
185  Full Text
Radiation Effect on the Mixed Convection Flow of a Viscoelastic Fluid Along an Inclined Stretching Sheet
Key words: Inclined Stretching; Thermal Radiation; Mixed Convection; Series Solution.
Muhammad Qasim, Tasawar Hayat, and Saleem Obaidat
195  Full Text
Solution of the Nonlinear Fractional Diffusion Equation with Absorbent Term and External Force Using Optimal Homotopy-Analysis Method
Key words: Fractional Diffusion Equation; Nonlinearity; Optimal Homotopy-Analysis Method; Fractional Brownian Motion; Absorbent Term; Error Analysis.
Mathematics Subject Classification 2000: 26A33; 34G20; 35A20; 35R11; 65Mxx
Kumar Vishal, and Subir Das
203  Full Text
Estimation of Configurational Probability and Phase Behaviour of N-n-undecyl-D-gluconamide having V-Shaped Conformation – A Molecular Simulation Approach
Key words: N-n-Undecyl-D-Gluconamide; Smectogen; Molecular Rigidity.
P. Lakshmi Praveen, and Durga P. Ojha
210  Full Text
N u m b e r  5
Original Communications
Heat Transfer in a Couple Stress Fluid over a Continuous Moving Surface with Internal Heat Generation and Convective Boundary Conditions
Key words: Heat Transfer; Couple Stress Fluid; Heat Generation; Convective Boundary Conditions; Moving Surface.
Tasawar Hayat, Zahid Iqbal, Muhammad Qasim, and Omar M. Aldossary
217  Full Text
Percolation in a Hierarchical Lattice
Key words: Percolation; Random Graph; Degree; Hierarchical Lattice; Phase Transition.
PACS numbers: 64.60.ah; 02.50.Cw; 02.10.Ox
Yilun Shang
225  Full Text
One Dimensional Model of Martensitic Transformation Solved by Homotopy Analysis Method
Key words: Homotopy Analysis Method; Martensitic Phase Transformation; Double-Well Potential; Bifurcation.
Chen Xuan, Cheng Peng, and Yongzhong Huo
230  Full Text
Chemically Reacting Hydromagnetic Unsteady Flow of a Radiating Fluid Past a Vertical Plate with Constant Heat Flux
Key words: Unsteady Flow; Vertical Plate; Magnetic Field; Thermal Radiation; Chemical Reaction.
Oluwole Daniel Makinde
239  Full Text
Analytical Solutions of the Slip Magnetohydrodynamic Viscous Flow over a Stretching Sheet by Using the Laplace–Adomian Decomposition Method
Key words: Laplace Adomian Decomposition Method; Padé Approximation; Navier–Stokes Equations; Semi-Infinite Interval; Magnetohydrodynamic Flow.
Hadi Roohani Ghehsareh, Saeid Abbasbandy, and Babak Soltanalizadeh
248  Full Text
Flow of a Non-Newtonian Nanofluid Between Coaxial Cylinders with Variable Viscosity
Key words: Coaxial Cylinders; Variable Viscosity; Analytical Solution; Non-Newtonian Nanofluid.
Muhammad Yousaf Malik, Azad Hussain, and Sohail Nadeem
255  Full Text
New Computational Dynamics for Magnetohydrodynamics Flow over a Nonlinear Stretching Sheet
Key words: Modified Laplace Decomposition Method; Rational Polynomial; MHD Flow; Approximate Solution.
Majid Khan, and Muhammad Asif Gondal
262  Full Text
Solution of the Coupled Burgers Equation Based on Operational Matrices of d-Dimensional Orthogonal Functions
Key words: Coupled Burgers Equation; Operational Matrix; Chebyshev and Legendre Polynomials; Tau Method.
Mathematics Subject Classification 2000: 34A08
Saeed Kazem, Malihe Shaban, and Jamal Amani Rad
267  Full Text
Thermosolutal Convection in a Couple-Stress Fluid in Uniform Vertical Magnetic Field
Key words: Thermosolutal Convection; Couple-Stress Fluid; Uniform Vertical Magnetic Field.
Mahinder Singh, and Pardeep Kumar
275  Full Text
Generalized Majority Logic Criterion to Analyze the Statistical Strength of S-Boxes
Key words: S-Box; Advanced Encryption Standard; Skipjack; Lui J; Residue of Prime; Mean of Absolute Deviation Analysis; Majority Logic Criterion.
Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal, and Hasan Mahmood
282  Full Text
A Theoretical Study of Lithium-Doped Gallium Clusters by Density Functional Theory
Key words: Geometrical Structures; Stability; Clusters; Density Functional Theory.
Şükrü Şentürk, and Yavuz Ekincioğlu
289  Full Text
Coulomb Dissociation of Nanoparticles Grazing along Organic Surfaces
Key words: Coulomb Dissociation of Grazing Nanoparticles.
PACS numbers: 34.50.Gb ; 36.40.In; 36.90+f
Viacheslav V. Komarov, Anna M. Popova, Lothar Schmidt, and Hartmut Jungclas
296  Full Text
A Comparative Nuclear Magnetic Resonance Study of the Solvation of CuClO4 in Binary Mixtures of Acetonitrile with Pyridine and Picolines at 298 K
Key words: 63Cu NMR; Pyridine; Picolines; Chemical Shift; Linewidth; Quadrupole Coupling Constant.
Dip Singh Gill, Dilbag Singh Rana, and Mohinder Singh Chauhan
303  Full Text
The Ordered Network Structure of M ≥ 8 Great Earthquakes and their Prediction in Mainland China
Key words: Mainland China; Informational Ordered Network Structure; 2001 Kunlunshan M8.1 Earthquake; 2008 Wenchuan M8.0 Earthquake; M ≥ 8 Great Earthquake Prediction.
Kepei Men
308  Full Text
N u m b e r  6 / 7
Original Communications
A New Approach to the Characteristics and Short-Channel Effects of Double-Gate Carbon Nanotube Field-Effect Transistors using MATLAB: A Numerical Study
Note: This title has been retracted by the Editor due to an unrefuted allegation of plagiarism of important material in this paper from a previously published work by Fiori at al. in IEEE Transactions on Electron Devices 53, 1782 (2006).
Key words: Short-Channel Effects; Non-Equilibrium Green Function; Field-Effect Transistor; Double-Gate; Carbon Nanotube.
Alireza Heidari, Niloofar Heidari, Foad Khademi Jahromi, Roozbeh Amiri, and Mohammadali Ghorbani
Analysis of S-box in Image Encryption Using Root Mean Square Error Method
Key words: Root Mean Square Error; S-Box Encryption; Image Encryption.
Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal, and Hasan Mahmood
327  Full Text
Non-Newtonian Micropolar Fluid Squeeze Film Between Conical Plates
Key words: Micropolar Fluids; Conical Plates; Squeeze Films; Load-Carrying Capacity; Approaching Time.
Jaw-Ren Lin, Chia-Chuan Kuo, Won-Hsion Liao, and Ching-Been Yang
333  Full Text
Tunnelling Effects of Solitons in Optical Fibers with Higher-Order Effects
Key words: Nonlinear Schrödinger Equation; Higher-Order Effect; Soliton Solutions; Tunnelling Effect.
PACS numbers: 05.45.Yv; 42.65.Tg
Chao-Qing Dai, Hai-Ping Zhu, and Chun-Long Zheng
338  Full Text
New Positon, Negaton, and Complexiton Solutions for a Coupled Korteweg–de Vries – Modified Korteweg–de Vries System
Key words: Positon; Negaton; Complexiton; Darboux Transformation.
PACS numbers: 02.30.Jr; 02.30.Ik; 05.45.Yv
Hengchun Hu, Mingyuan Yang, and Ling Zhang
347  Full Text
On the Hybrid of Fourier Transform and Adomian Decomposition Method for the Solution of Nonlinear Cauchy Problems of the Reaction-Diffusion Equation
Key words: Cauchy Reaction-Diffusion; Fourier Transformation; Adomian Decomposition Method; Non-Homogeneous Partial Differential Equation.
Salman Nourazar, Akbar Nazari-Golshan, Ahmet Yıldırım, and Maryam Nourazar
355  Full Text
Boundary Layer Theory and Symmetry Analysis of a Williamson Fluid
Key words: Non-Newtonian Fluid; Williamson Fluid; Boundary Layer Theory; Lie Group Theory.
Yiğit Aksoy, Tasawar Hayat, and Mehmet Pakdemirli
363  Full Text
Improved Security Detection Strategy in Quantum Secure Direct Communication Protocol Based on Four-Particle Green–Horne–Zeilinger State
Key words: Quantum Secure Direct Communication Protocol; Dense Coding; Four-Particle GHZ State; Eavesdropping Detection.
Jian Li, Jin-Rui Nie, Rui-Fan Li, and Bo Jing
369  Full Text
A Note on New Exact Solutions for Some Unsteady Flows of Brinkman-Type Fluids over a Plane Wall
Key words: Brinkman Type Fluids; Plane Wall; Exact Solutions.
Farhad Ali, Ilyas Khan, Samiulhaq, and Sharidan Shafie
377  Full Text
Infinite Series Symmetry Reduction Solutions to the Perturbed Coupled Nonlinear Schrödinger Equation
Key words: Perturbed Coupled Nonlinear Schrödinger Equation; Approximate Symmetry Perturbation Method; Infinite Series Symmetry Reduction Solution.
PACS numbers: 42.81.Dp; 02.30.Jr; 03.40.Kf
Xue-Ping Cheng, Qing-Qing Yuan, Xiang-Qing Zhao, and Jin-Yu Li
381  Full Text
A Fractional Model of Gas Dynamics Equations and its Analytical Approximate Solution Using Laplace Transform
Key words: Homotopy Perturbation Method; Laplace Transform; Gas Dynamics Equation; Analytical Solution.
Mathematics Subject Classification 2000: 26A33; 34A08; 34A34
Sunil Kumar, Huseyin Kocak, and Ahmet Yıldırım
389  Full Text
Tunable Comb-Channels with Orthogonal Polarizations Based on Coupled Resonators and Electro-Optic Effect
Key words: Orthogonal Polarizations; Coupled Resonators; Comb-Channels; Electro-Optic Effect.
Changyun Chen
397  Full Text
Estimating the Laplacian Energy-Like Molecular Structure Descriptor
Key words: Energy (of Graph); Laplacian Energy; Laplacian Energy-Like Invariant; LEL.
Ivan Gutman
403  Full Text
Investigation on the Spin Hamiltonian Parameters and the Local Structures for Cu2+ Centers in Sodium Phosphate and Heavy Metal Fluoride Glasses
Key words: Electron Paramagnetic Resonance (EPR); Crystal-Field and Spin Hamiltonians; Glasses; Cu2+; Local Structure.
Hua-Ming Zhang, Xiong Wan, and Zhi-Min Zhang
407  Full Text
Effects of Surface Roughness and Surface Force on the Thin Film Elastohydrodynamic Lubrication of Circular Contacts
Key words: Thin Film Elastohydrodynamic Lubrication (TFEHL); Roughness; Surface Force.
Li-Ming Chu, Jaw-Ren Lin, and Jiann-Lin Chen
412  Full Text
Three-Dimensional Coastal Geomorphology Deformation Modelling Using Differential Synthetic Aperture Interferometry
Key words: RADARSAT-1 SAR; DInSAR; 3D; Coastal Geomorphology.
Maged Marghany
419  Full Text
Finite Element Investigation of Stationary Natural Convection of Light and Heavy Water in a Vessel Containing Heated Rods
Key words: Light Water; Heavy Water; Natural Convection; Heated Obstacle Galerkin Weighted Residual; Finite Element Method.
Mohamed M. Mousa
421  Full Text
Erratum to: Dipolar Order and Spin-Lattice Relaxation in a Liquid Entrapped into Nanosize Cavities, Z. Naturforsch. 66a, 779 (2011).
Gregory Furman and Shaul Goren
Open Access
N u m b e r  8 / 9
Original Communications
Trace Formula on Transmission Eigenvalues of the Sturm–Liouville Problem
Key words: Sturm–Liouville Problem; Transmission Eigenvalues; Trace Formula.
Mathematics Subject Classification 2000: 34A55; 34B24; 47E05
Chuan-Fu Yang
429  Full Text
Dynamic Analysis of Nonlinear Oscillator Equation Arising in Double-Sided Driven Clamped Microbeam-Based Electromechanical Resonator
Key words: Microelectromechanical System; Nonlinear Oscillation; Analytical Methods; Periodic Solution.
Yasir Khan and Mehdi Akbarzade
435  Full Text
Bäcklund Transformation and N-Soliton Solutions for the Cylindrical Nonlinear Schrödinger Equation from the Diverging Quasi-Plane Envelope Waves
Key words: Cylindrical Nonlinear Schrödinger Equation; Soliton Solutions; Double Wronskian; Hirota Method; Bäcklund Transformation; Symbolic Computation.
PACS numbers: 02.30.Ik; 02.30.Jr; 02.70.Wz; 05.45.Yv
Pan Wang, Bo Tian, Wen-Jun Liu, and Yan Jiang
441  Full Text
Entropy Analysis of Mixed Convective Magnetohydrodynamic Flow of a Viscoelastic Fluid over a Stretching Sheet
Key words: Boundary Layer Flow; Viscoelastic Fluid; Mixed Convection; Entropy Generation; Homotopy Analysis Method.
Adnan S. Butt, Sufian Munawar, Asif Ali, and Ahmer Mehmood
451  Full Text
Study of the Rate Type Fluid with Temperature Dependent Viscosity
Key words: Homotopy Analysis Method; Variable Viscosity.
Naeem Faraz and Yasir Khan
460  Full Text
Falkner–Skan Boundary Layer Flow of a Sisko Fluid
Key words: Sisko Fluid; Falkner–Skan Flow; Analytic Solution.
Masood Khan and Azeem Shahzad
469  Full Text
Blow-Up of Solutions for a Class of Reaction-Diffusion Equations with a Gradient Term under Nonlinear Boundary Condition
Key words: Reaction-Diffusion Equation; Gradient Term; Nonlinear Boundary Conditions; Maximum Principles; Blow-Up of Solutions.
Mathematics Subject Classification 2000: 35K20; 35K55; 35K65
Junping Zhao
479  Full Text
Three-Dimensional Bright–Dark Soliton, Bright Soliton Pairs, and Rogue Wave of Coupled Nonlinear Schrödinger Equation with Time–Space Modulation
Key words: Coupled NLS Equation; Bright–Dark Soliton; Bright Soliton Pairs; Rogue Wave.
Junchao Chen and Biao Li
483  Full Text
Split and Merge of Left–Right Circular Polarized Light through Coupled Magnetic Resonators
Key words: Light Polarizations; Coupled Magnetic Resonators; 4 × 4 Transfer Matrix Method.
PACS numbers: 42.25.Ja; 78.20.Ls; 75.70.-i; 73.40.Gk
Jijun Wang, Jing Cao, Min Zhu, Zhipan Zhu, and Yun-tuan Fang
491  Full Text
Temperature Dependence of the Magnetoresistance Effect in Metals
Key words: Temperature Dependence; Magnetoresistance Effect; Metals.
PACS numbers: 72.15 Gd; 72.15 He; 72.15 Lh
Stanisław Olszewski
498  Full Text
Optimal Homotopy Perturbation Method for a Non-Conservative Dynamical System of a Rotating Electrical Machine
Key words: Optimal Homotopy Perturbation Method (OHPM) ; Rotating Electrical Machine; Differential Equation with Variable Coefficients.
Nicolae Herişanu and Vasile Marinca
509  Full Text
Exact Solutions for the Magnetohydrodynamic Flow of a Jeffrey Fluid with Convective Boundary Conditions and Chemical Reaction
Key words: Exact Solutions; Heat Transfer; Mass Transfer; Jeffrey Fluid; Chemical Reaction; Convective Boundary Condition; Numerical Solution.
Ahmed Alsaedi, Zahid Iqbal, Meraj Mustafa, and Tasawar Hayat
517  Full Text
N u m b e r  10 / 11
Original Communications
Integrability and Multi-Soliton Solutions for a Variable-Coefficient Coupled Gross–Pitaevskii System for Atomic Matter Waves
Key words: Variable-Coefficient Coupled Gross–Pitaevskii System; Painlevé Analysis; Atomic Matter Waves; Multi-Soliton Solutions; Soliton Collision.
PACS numbers: 05.45.Yv; 02.30.Ik; 67.85.Hj; 02.30.Jr; 02.70.Wz
Zhi-Qiang Lin, Bo Tian, Ming Wang, Xing Lü, and Yan Jiang
525  Full Text
Research on Evaluation Models and Empirical Analysis of Earthquake Disaster Losses in China
Key words: Earthquake Disaster; Economic Loss Rating; Grey Relation-Cluster Analysis; Principal Component Analysis; Evaluation Models.
Kepei Men and Lei Cui
534  Full Text
A Variety of Exact Periodic Wave and Solitary Wave Solutions for the Coupled Higgs Equation
Key words: Coupled Higgs Field Equation; Jacobi Elliptic Function Method; Solitary Wave Solutions.
Houria Triki and Abdul-Majid Wazwaz
545  Full Text
On the Quasi-Ordering of Catacondensed Hexagonal Systems with Respective to their Clar Covering Polynomials
Key words: Catacondensed Hexagonal Systems; Clar Covering Polynomials; Zhang–Zhang Polynomials; k*-Resonant Graph.
Liqiong Xu and Fuji Zhang
550  Full Text
Dynamical Symmetry Method Investigates the Dissipation and Decoherence of the two-level Jaynes–Cummings Model
Key words: Algebraic Dynamics; Master Equation; Jaynes–Cummings Model.
PACS numbers: 03.65.Fd; 03.65.Yz; 42.50.Lc
Qin-Sheng Zhu, Wei Lai, and Da-Lin Wu
559  Full Text
Pseudospin Symmetry in the Relativistic Killingbeck Potential: Quasi-Exact Solution
Key words: Dirac Equation; Killingbeck Potential; P-Spin Symmetry; Quasi-Exact Solution.
PACS numbers: 03.65.Fd; 02.30.Pm; 03.65.Ge
Majid Hamzavi, Sameer M. Ikhdair, and Karl-Erik Thylwe
567  Full Text
Radiation and Porosity Effects on the Magnetohydrodynamic Flow Past an Oscillating Vertical Plate with Uniform Heat Flux
Key words: Magnetohydrodynamic Flow; Oscillating Vertical Plate; Thermal Radiation; Porous Medium.
Samiulhaq, Constantin Fetecau, Ilyas Khan, Farhad Ali, and Sharidan Shafie
572  Full Text
Breathing Azimuthons in Nonlocal Nonlinear Media
Key words: Nonlocal Nonlinear Media; Self-Similar; Azimuthons.
PACS numbers: 01.55.+b; 02.30.Jr
Xian-Jing Lai, Xiao-Ou Cai, and Xiao-Jing Ni
581  Full Text
Current Conduction in Poly(3-Hexylthiophene) and in Poly(3-Hexylthiophene) doped [6,6]-Phenyl C61-Butyric Acid Methylester Composite Thin Film Devices
Key words: Polymer Semiconductors; Space Charge Limited Currents; Trap Filling; MIM Devices; Fowler–Nordheim Tunnelling.
PACS numbers: 72.20.Ht; 72.80.Le; 73.40.Rw; 73.40.Sx; 82.35.Cd; 85.30.De
Zivayi Chiguvare and Jürgen Parisi
589  Full Text
New Exact Solution and Novel Time Solitons for the Dissipative Zabolotskaya–Khokhlov Equation from Nonlinear Acoustics
Key words: Dissipative Zabolotskaya–Khokhlov Equation; Symbolic Computation Algorithm; Generalized Travelling Wave Solution; Exact Solution; Time Soliton.
PACS numbers: 02.30.Jr; 05.45.Yv; 03.65.Ge
Bang-Qing Li, Su Li, and Yu-Lan Ma
601  Full Text
Spin Hamilton Operators, Symmetry Breaking, Energy Level Crossing, and Entanglement
Key words: Hilbert Space; Energy Level Crossing; Discrete Symmetries; Entanglement.
Willi-Hans Steeb, Yorick Hardy, and Jacqueline de Greef
608  Full Text
Soliton Solutions, Conservation Laws, and Reductions of Certain Classes of Nonlinear Wave Equations
Key words: Lie Symmetries; Conservation Laws; Double Reduction.
Richard Morris, Abdul Hamid Kara, Abhinandan Chowdhury, and Anjan Biswas
613  Full Text
A Numerical Study of the Nonlinear Reaction-Diffusion Equation with Different Type of Absorbent Term by Homotopy Analysis Method
Key words: Homotopy Analysis Method; Nonlinear Reaction-Diffusion Equation; Partial Differential Equation; External Force; Reaction Term.
Mathematics Subject Classification 2000: 14F35; 35K57; 45K05
Praveen Kumar Gupta and Swati Verma
621  Full Text
Study of the Phan-Thien–Tanner Equation of Viscoelastic Blood Non-Newtonian Flow in a Pipe-Shaped Artery under an Emotion-Induced Pressure Gradient
Key words: Boundary Conditions; Mass Transfer; Viscous Dissipation; Phan-Thien–Tanner (PTT) Equation; Viscosity.
Karem Boubaker and Yasir Khan
628  Full Text
Oxidation of Hafnium and Diffusion of Hafnium Atoms in Hexagonal Close-Packed Hafnium; Microscopic Investigations by Perturbed Angular Correlations
Key words: Hf Metal; Transformation to HfO2; Diffusion of Hf; TDPAC(T).
Chandi C. Dey
633  Full Text
Upper-Convected Maxwell Fluid Flow over an Unsteady Stretching Surface Embedded in Porous Medium Subjected to Suction/Blowing
Key words: Unsteady Flow; Maxwell Fluid; Porous Medium; Stretching Surface; Suction/Blowing.
Swati Mukhopadhyay
641  Full Text
Heat Transfer to Magnetohydrodynamic Non-Newtonian Couple Stress Pulsatile Flow Between two Parallel Porous Plates
Key words: Heat Transfer; Erying–Powel Model; Couple Stresses; Thermal Radiation.
Mathematics Subject Classification 2000: 76B; 76DXX
Samuel Olumide Adesanya and Oluwole Daniel Makinde
647  Full Text
N u m b e r  12
Original Communications
Unsteady Flow and Heat Transfer in a Composite Porous Annulus with Time-Dependent Injection
Key words: Unsteady Flow; Heat Transfer; Porous Medium; Suction/Injection.
Muhammad Nasir, Sufian Munawar, Ahmer Mehmood, and Asif Ali
657  Full Text
A new Reliable Numerical Algorithm Based on the First Kind of Bessel Functions to Solve Prandtl–Blasius Laminar Viscous Flow over a Semi-Infinite Flat Plate
Key words: Blasius Equation; Bessel Functions; Collocation Method; Semi-Infinite; Nonlinear ODE.
Mathematics Subject Classification 2000: 65L10; 65L60; 34B15
Kourosh Parand, Mehran Nikarya, Jamal Amani Rad, and Fatemeh Baharifard
665  Full Text
A Novel Analytical Implementation of Nonlinear Volterra Integral Equations
Key words: Two Step Homotopy Perturbation Transforms Algorithm; Nonlinear Volterra Integral Equations.
Majid Khan, Muhammad Asif Gondal, and Syeda Iram Batool
674  Full Text
Facile Synthesis and Electrical Conductivity of Carbon Nanotube Reinforced Nanosilver Composite
Key words: Ag/CNT; Nanocomposite; Molecular Level Mixing; Electrical Conductivity; Noncovalent Functionalization.
Hemant Pal, Vimal Sharma, Rajesh Kumar, and Nagesh Thakur
679  Full Text
Dufour and Soret Effects on the Thermosolutal Instability of Rivlin–Ericksen Elastico–Viscous Fluid in Porous Medium
Key words: Thermosolutal Instability; Rivlin-Ericksen; Dufour; Soret Parameter.
Ramesh Chand and Gian Chand Rana
685  Full Text
Existence of Solutions for Stochastic Differential Equations under G-Brownian Motion with Discontinuous Coefficients
Key words: Stochastic Differential Equations; G-Brownian Motion; Discontinuous Coefficients; Existence; Upper and Lower Solutions.
Mathematics Subject Classification 2000: 60H10; 60H20
Faiz Faizullah
692  Full Text
A Note on the Carathéodory Approximation Scheme for Stochastic Differential Equations under G-Brownian Motion
Key words: Stochastic Differential Equations; G-Brownian Motion; Carathéodory's Approximation Scheme; Existence; Uniqueness.
Mathematics Subject Classification 2000: 60H10; 60H20; 60H35; 62L20
Faiz Faizullah
699  Full Text
Construction of New S-Boxes Over Finite Field and Their Application to Watermarking
Key words: Block Ciphers; S-Box; Watermarking; MSE; PSNR; SSIM.
Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal, and Hasan Mahmood
705  Full Text
Darboux Transformation and N-Soliton Solution for the Coupled Modified Nonlinear Schrödinger Equations
Key words: Coupled Mixed Derivative Nonlinear Schrödinger Equations; Vector Soliton; Soliton Collision; Darboux Transformation.
PACS numbers: 05.45.Yv; 42.65.Tg; 42.81.Dp
Hai-Qiang Zhang
711  Full Text
Nonperiodic Oscillation of Bright Solitons in Condensates with a Periodically Oscillating Harmonic Potential
Key words: Bose–Einstein Condensates; Oscillating Solitons; Periodically Oscillating Potential Trap; Darboux Transformation.
PACS numbers: 05.45.Yv; 03.75.Lm; 03.75.Kk
Zhang-Ming He, Deng-Long Wang, Yan-Chao She, Jian-Wen Ding, and Xiao-Hong Yan
723  Full Text
Structural and Electronic Properties of Stable AunIr2 (n = 1–7) Clusters: Comparison with Pure Gold Clusters
Key words: Meta-GGA Exchange Correlation Functional (TPSS); AunIr2 (n = 1–7) Clusters; Geometric Structure.
Li-Ping Ding, Xiao-Yu Kuang, Peng Shao, Ming-Min Zhong, and Yan-Fang Li
729  Full Text