Advances in Mathematical Physics

2009 - 2023

Continuation of Advances in Mathematical Physics.

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Volume 2014, issue 1, 2014

A New Kind of Shift Operators for Infinite Circular and Spherical Wells

Guo-Hua Sun, K. D. Launey, T. Dytrych, Shi-Hai Dong and J. P. Draayer

Conservative Difference Scheme for Generalized Rosenau‐KdV Equation

Yan Luo, Youcai Xu and Minfu Feng

The Nondifferentiable Solution for Local Fractional Tricomi Equation Arising in Fractal Transonic Flow by Local Fractional Variational Iteration Method

Ai-Min Yang, Yu-Zhu Zhang and Xiao-Long Zhang

Low Temperature Expansion in the Lifshitz Formula

M. Bordag

Separation Transformation and a Class of Exact Solutions to the Higher‐Dimensional Klein‐Gordon‐Zakharov Equation

Jing Chen, Ling Liu and Li Liu

Unsteady Hydromagnetic Flow of Radiating Fluid Past a Convectively Heated Vertical Plate with the Navier Slip

O. D. Makinde and M. S. Tshehla

Factorization Method in Oscillator with the Aharonov‐Casher System

J. Sadeghi, Jalil Naji and Behnam Pourhassan

Some Exact Solutions of Nonlinear Fin Problem for Steady Heat Transfer in Longitudinal Fin with Different Profiles

M. D. Mhlongo and R. J. Moitsheki

The Faddeev Equation and the Essential Spectrum of a Model Operator Associated with the Hamiltonian of a Nonconserved Number of Particles

Zahriddin Muminov, Fudziah Ismail and Jamshid Rasulov

Computational Dynamics of Arterial Blood Flow in the Presence of Magnetic Field and Thermal Radiation Therapy

T. Chinyoka and O. D. Makinde

Numerical Analysis of Nanofluids in Differentially Heated Enclosure Undergoing Orthogonal Rotation

H. Saleh and I. Hashim

A Statistical Cohomogeneity One Metric on the Upper Plane with Constant Negative Curvature

Limei Cao, Didong Li, Erchuan Zhang, Zhenning Zhang and Huafei Sun

A New Boundary Model for Simulating Complex and Flexible Wall Bounded Domain in Dissipative Particle Dynamics

Saeid Mokhtarian, Ahmadreza Pishevar and Mohammad Said Saidi

Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling

O. D. Makinde, S. Khamis, M. S. Tshehla and O. Franks

On the Use of Lie Group Homomorphisms for Treating Similarity Transformations in Nonadiabatic Photochemistry

Benjamin Lasorne

Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators

Banan Maayah, Samia Bushnaq, Shaher Momani and Omar Abu Arqub

The Study of Fractional Order Controller with SLAM in the Humanoid Robot

Shuhuan Wen, Xiao Chen, Yongsheng Zhao, Ahmad B. Rad, Kamal Mohammed Othman and Ethan Zhang

Stabilization of the Wave Equation with Boundary Time‐Varying Delay

Hao Li, Changsong Lin, Shupeng Wang and Yanmei Zhang

Antiperiodic Solutions for a Kind of Nonlinear Duffing Equations with a Deviating Argument and Time‐Varying Delay

Changjin Xu and Maoxin Liao

A Modified Three‐Level Average Linear‐Implicit Finite Difference Method for the Rosenau‐Burgers Equation

Jiraporn Janwised, Ben Wongsaijai, Thanasak Mouktonglang and Kanyuta Poochinapan

On a System of Two High‐Order Nonlinear Difference Equations

Qianhong Zhang and Wenzhuan Zhang

Nonlinear Fluid Flow and Heat Transfer

O. D. Makinde, R. J. Moitsheki, R. N. Jana, B. H. Bradshaw-Hajek and W. A. Khan

Lie Symmetry Reductions and Exact Solutions to the Rosenau Equation

Ben Gao and Hongxia Tian

New Neumann System Associated with a 3 × 3 Matrix Spectral Problem

Fang Li and Liping Lu

On New Conservation Laws of Fin Equation

Gülden Gün Polat, Özlem Orhan and Teoman Özer

A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments

Ayşe Betül Koç, Musa Çakmak and Aydın Kurnaz

On the Deformation Retract of Kerr Spacetime and Its Folding

H. Rafat

Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3 + 1)‐Dimensional Boussinesq Equation

Letlhogonolo Daddy Moleleki and Chaudry Masood Khalique

Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow

Yang Li, Long-Fei Wang, Sheng-Da Zeng and Yang Zhao

Lie Group Method of the Diffusion Equations

Jian-Qiang Sun, Rong-Fang Huang, Xiao-Yan Gu and Ling Yu

Developing a Local Neurofuzzy Model for Short‐Term Wind Power Forecasting

E. Faghihnia, S. Salahshour, A. Ahmadian and N. Senu

Bifurcation Problems for Generalized Beam Equations

Fosheng Wang

On the Existence of Central Configurations of 2k + 2p + 2l‐Body Problems

Yueyong Jiang and Furong Zhao

Dimension Spectrum for Sofic Systems

Jung-Chao Ban, Chih-Hung Chang, Ting-Ju Chen and Mei-Shao Lin

Some Propositions on Generalized Nevanlinna Functions of the Class Nk

Yan-Ping Song, Hui-Feng Hao, Yong-Jian Hu and Gong-Ning Chen

Effects of a Fluctuating Carrying Capacity on the Generalized Malthus‐Verhulst Model

Héctor Calisto, Kristopher J. Chandía and Mauro Bologna

A Shifted Jacobi‐Gauss Collocation Scheme for Solving Fractional Neutral Functional‐Differential Equations

A. H. Bhrawy and M. A. Alghamdi

Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain

Yang-Yang Li, Yang Zhao, Gong-Nan Xie, Dumitru Baleanu, Xiao-Jun Yang and Kai Zhao

A Spectral Relaxation Approach for Unsteady Boundary‐Layer Flow and Heat Transfer of a Nanofluid over a Permeable Stretching/Shrinking Sheet

S. S. Motsa, P. Sibanda, J. M. Ngnotchouye and G. T. Marewo

Hybrid Dislocated Control and General Hybrid Projective Dislocated Synchronization for Memristor Chaotic Oscillator System

Junwei Sun, Chun Huang and Guangzhao Cui

Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach

Zhi-Yong Chen, Carlo Cattani and Wei-Ping Zhong

Fractal Theory and Contact Dynamics Modeling Vibration Characteristics of Damping Blade

Ruishan Yuan, Qin Zhou, Qiang Zhang and Yonghui Xie

Limiting Behavior of Travelling Waves for the Modified Degasperis‐Procesi Equation

Jiuli Yin, Liuwei Zhao and Shanyu Ding

N‐Soliton Solutions of the Nonisospectral Generalized Sawada‐Kotera Equation

Jian Zhou, Xiang-Gui Li and Deng-Shan Wang

Effect of Velocity Slip Boundary Condition on the Flow and Heat Transfer of Cu‐Water and TiO2‐Water Nanofluids in the Presence of a Magnetic Field

Abdelhalim Ebaid, Fahd Al Mutairi and S. M. Khaled

An Alternative Approach to Energy Eigenvalue Problems of Anharmonic Potentials

Okan Ozer and Halide Koklu

Non‐Hermitian Lagrangian for Quasirelativistic Fermions

Jean Alexandre

Adaptive Fractional Differentiation Harris Corner Detection Algorithm for Vision Measurement of Surface Roughness

Rui-Yin Tang and Zhou-Mo Zeng

Approximate Solutions for Local Fractional Linear Transport Equations Arising in Fractal Porous Media

Meng Li, Xiao-Feng Hui, Carlo Cattani, Xiao-Jun Yang and Yang Zhao

Symmetry and Group Theory and Its Application to Few‐Body Physics

Xiao-Yan Gu, Fabien Gatti, Shi-Hai Dong and Jian-Qiang Sun

On the Dynamics of Two‐Dimensional Capillary‐Gravity Solitary Waves with a Linear Shear Current

Dali Guo, Bo Tao and Xiaohui Zeng

Weak Convergence for a Class of Stochastic Fractional Equations Driven by Fractional Noise

Xichao Sun and Junfeng Liu

On a Periodic Solution of the 4‐Body Problems

Jian Chen and Bingyu Li

Fundamental Solutions for Periodic Media

Sergey V. Kuznetsov

Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods

Özkan Güner and Dursun Eser

Field Equations in the Complex Quaternion Spaces

Zi-Hua Weng

Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method

Vasile Marinca and Remus-Daniel Ene

Application of Successive Linearisation Method to Squeezing Flow with Bifurcation

S. S. Motsa, O. D. Makinde and S. Shateyi

On Generalized Jordan Prederivations and Generalized Prederivations of Lie Superalgebras

Yao Ma and Liangyun Chen

On the Deformations and Derivations of n‐Ary Multiplicative Hom‐Nambu‐Lie Superalgebras

Baoling Guan, Liangyun Chen and Yao Ma

Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two‐Component Hunter‐Saxton System

Qing Meng and Bin He

Effects of Behavioral Tactics of Predators on Dynamics of a Predator‐Prey System

Hui Zhang, Zhihui Ma, Gongnan Xie and Lukun Jia

Nonlinear Langevin Equation of Hadamard‐Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions

Jessada Tariboon, Sotiris K. Ntouyas and Chatthai Thaiprayoon

Scales of Time Where the Quantum Discord Allows an Efficient Execution of the DQC1 Algorithm

M. Ávila, G. H. Sun and A. L. Salas-Brito

Delta Shock Wave for the Suliciu Relaxation System

Richard De la cruz, Juan Galvis, Juan Carlos Juajibioy and Leonardo Rendón

On the Conservation Laws and Exact Solutions of a Modified Hunter‐Saxton Equation

Sait San and Emrullah Yaşar

Spectral Relaxation Method and Spectral Quasilinearization Method for Solving Unsteady Boundary Layer Flow Problems

S. S. Motsa, P. G. Dlamini and M. Khumalo

Simulation of Impinging Cooling Performance with Pin Fins and Mist Cooling Adopted in a Simplified Gas Turbine Transition Piece

Tao Xu, Hang Xiu, Junlou Li, Haichao Ge, Qing Shao, Guang Yang and Zhenglei Yu

Effect of Third‐Order Dispersion on the Solitonic Solutions of the Schrödinger Equations with Cubic Nonlinearity

H. Chachou Samet, M. Benarous, M. Asad-uz-zaman and U. Al Khawaja

Investigations on Vehicle Rollover Prevention Using LQG Regulator

Binda Mridula Balakrishnan and Marimuthu Rajaram

Convergence Analysis of Legendre Pseudospectral Scheme for Solving Nonlinear Systems of Volterra Integral Equations

Emran Tohidi, O. R. Navid Samadi and S. Shateyi

A Weak Convergence to Hermite Process by Martingale Differences

Xichao Sun and Ronglong Cheng

Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source

Yulan Wang, Xiaojun Song and Chao Ye

On Fuzzy Fractional Laplace Transformation

Ahmad Jafarian, Alireza Khalili Golmankhaneh and Dumitru Baleanu

The Deng Algorithm in Higher Dimensions

Y. Nyonyi, S. D. Maharaj and K. S. Govinder

Dynamical Processes and Systems of Fractional Order

Ming Li, Carlo Cattani, Massimo Scalia, S. C. Lim and Wen-Sheng Chen

Two Conservative Difference Schemes for Rosenau‐Kawahara Equation

Jinsong Hu, Youcai Xu, Bing Hu and Xiaoping Xie

Generalized Jordan Semitriple Maps on Hilbert Space Effect Algebras

Qing Yuan and Kan He

Solution Theory of Ginzburg‐Landau Theory on BCS‐BEC Crossover

Shuhong Chen and Zhong Tan

A Local Integral Equation Formulation Based on Moving Kriging Interpolation for Solving Coupled Nonlinear Reaction‐Diffusion Equations

Kanittha Yimnak and Anirut Luadsong

Exact Solutions of the Time Fractional BBM‐Burger Equation by Novel (G′/G)‐Expansion Method

Muhammad Shakeel, Qazi Mahmood Ul-Hassan, Jamshad Ahmad and Tauseef Naqvi

Description of Dispersive Wave Emission and Supercontinuum Generation in Silicon Waveguides Using Split‐Step Fourier and Runge‐Kutta Integration Methods

Xuefeng Li

Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary

Ravinder Kumar, Dinesh Kumar Madan and Jitander Singh Sikka

Multifractal Structure of the Divergence Points of Some Homogeneous Moran Measures

JiaQing Xiao and YouMing He

Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators

Sheng-Ping Yan, Hossein Jafari and Hassan Kamil Jassim

New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G‐Expansion Methods

Yinghui He

Classification of the Group Invariant Solutions for Contaminant Transport in Saturated Soils under Radial Uniform Water Flows

M. M. Potsane and R. J. Moitsheki

On Conservation Forms and Invariant Solutions for Classical Mechanics Problems of Liénard Type

Gülden Gün Polat and Teoman Özer

Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators

J. Naji, S. Heydari and R. Darabi