Advances in Mathematical Physics

2009 - 2023

Continuation of Advances in Mathematical Physics.

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Volume 2016, issue 1, 2016

Remarks on Chern‐Simons‐Higgs Equations in R11+

Hyungjin Huh and Guanghui Jin

On the Possibility of the Jerk Derivative in Electrical Circuits

J. F. Gómez-Aguilar, J. Rosales-García, R. F. Escobar-Jiménez, M. G. López-López, V. M. Alvarado-Martínez and V. H. Olivares-Peregrino

Equivalent Circuits Applied in Electrochemical Impedance Spectroscopy and Fractional Derivatives with and without Singular Kernel

J. F. Gómez-Aguilar, J. E. Escalante-Martínez, C. Calderón-Ramón, L. J. Morales-Mendoza, M. Benavidez-Cruz and M. Gonzalez-Lee

On the Definition of Energy for a Continuum, Its Conservation Laws, and the Energy‐Momentum Tensor

Mayeul Arminjon

Radiation Effects in Flow through Porous Medium over a Rotating Disk with Variable Fluid Properties

Shalini Jain and Shweta Bohra

Fractional Sobolev’s Spaces on Time Scales via Conformable Fractional Calculus and Their Application to a Fractional Differential Equation on Time Scales

Yanning Wang, Jianwen Zhou and Yongkun Li

Theory of Nonlocal Point Transformations in General Relativity

Massimo Tessarotto and Claudio Cremaschini

On Pseudo‐Petrov Symmetric Riemannian Manifolds

Sanjib Kumar Jana, Fusun Nurcan, Amit Kumar Debnath and Joydeep Sengupta

Generating q‐Commutator Identities and the q‐BCH Formula

Andrea Bonfiglioli and Jacob Katriel

Two‐Phase Flow in Wire Coating with Heat Transfer Analysis of an Elastic‐Viscous Fluid

Zeeshan Khan, Rehan Ali Shah, Saeed Islam and Bilal Jan

Bright Solitons in a PT‐Symmetric Chain of Dimers

Omar B. Kirikchi, Alhaji A. Bachtiar and Hadi Susanto

A Lipschitz Stability Estimate for the Inverse Source Problem and the Numerical Scheme

Xianzheng Jia

On the Accuracy and Efficiency of Transient Spectral Element Models for Seismic Wave Problems

Sanna Mönkölä

Multidimensional Analysis of Plates with Irregularities Using Higher‐Order Finite Elements Based on Lobatto Shape Functions

Jae S. Ahn

A Mixed Finite Element Formulation for the Conservative Fractional Diffusion Equations

Suxiang Yang and Huanzhen Chen

Thermal Stability Investigation in a Reactive Sphere of Combustible Material

R. S. Lebelo

Two‐Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas

M. G. Hafez, M. R. Talukder and M. Hossain Ali

Firm Growth Function and Extended‐Gibrat’s Property

Atushi Ishikawa, Shouji Fujimoto, Takayuki Mizuno and Tsutomu Watanabe

Application of Perturbation Theory to a Master Equation

B. M. Villegas-Martínez, F. Soto-Eguibar and H. M. Moya-Cessa

Lie Subalgebras of the Matrix Quantum Pseudodifferential Operators

Karina Batistelli and Carina Boyallian

Stochastic Effects for the Reaction‐Duffing Equation with Wick‐Type Product

Jin Hyuk Choi, SeungGwan Lee and Hyunsoo Kim

Integrable 2D Time‐Irreversible Systems with a Cubic Second Integral

H. M. Yehia and A. A. Elmandouh

Unstable Modes and Order Parameters of Bistable Signaling Pathways at Saddle‐Node Bifurcations: A Theoretical Study Based on Synergetics

Till D. Frank

Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models

Asao Arai and Daiju Funakawa

A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation

Bo Chen, Xiao-Hui Zhou, Li-Wei Zhang, Jie Wang, Wei-Qiang Zhang and Chen Zhang

On the Motion of Harmonically Excited Spring Pendulum in Elliptic Path Near Resonances

T. S. Amer, M. A. Bek and I. S. Hamada

Description of the Magnetic Field and Divergence of Multisolenoid Aharonov‐Bohm Potential

Araz R. Aliev, Elshad H. Eyvazov, Said F. M. Ibrahim and Hassan A. Zedan

Discrete Spectrum of 2 + 1‐Dimensional Nonlinear Schrödinger Equation and Dynamics of Lumps

Javier Villarroel, Julia Prada and Pilar G. Estévez

Flows with Slip of Oldroyd‐B Fluids over a Moving Plate

Abdul Shakeel, Sohail Ahmad, Hamid Khan, Nehad Ali Shah and Sami Ul Haq

Lax Triples for Integrable Surfaces in Three‐Dimensional Space

Jan L. Cieśliński and Artur Kobus

Singularity Analysis for a Class of Porous Medium Equation with Time‐Dependent Coefficients

Anyin Xia, Xianxiang Pu and Shan Li

An Efficient Numerical Method for the Solution of the Schrödinger Equation

Licheng Zhang and Theodore E. Simos

Two Kinds of Darboux‐Bäcklund Transformations for the q‐Deformed KdV Hierarchy with Self‐Consistent Sources

Hongxia Wu, Liangjuan Gao, Jingxin Liu and Yunbo Zeng

The Interval Slope Method for Long‐Term Forecasting of Stock Price Trends

Chun-xue Nie and Xue-bo Jin

A Comparative Approach to the Solution of the Zabolotskaya‐Khokhlov Equation by Iteration Methods

Saeed Ahmed and Muhammad Kalim

Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations

M. Sameeh and A. Elsaid

Analytical Investigation of Magnetohydrodynamic Flow over a Nonlinear Porous Stretching Sheet

Fazle Mabood and Nopparat Pochai

New Applications of a Kind of Infinitesimal‐Operator Lie Algebra

Honwah Tam, Yufeng Zhang and Xiangzhi Zhang

Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids

Sudi Mungkasi

Analysis of the Stability of the Riemann Problem for a Simplified Model in Magnetogasdynamics

Yujin Liu and Wenhua Sun

Kubo Fluctuation Relations in the Generalized Elastic Model

Alessandro Taloni

Mixed Initial‐Boundary Value Problem for the Capillary Wave Equation

B. Juarez Campos, Elena Kaikina and Hector F. Ruiz Paredes

Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model

Bin Wang, Lin Yin, Shaojie Wang, Shirui Miao, Tantan Du and Chao Zuo

Existence of Positive Solutions for Two‐Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application

Caixia Guo, Jianmin Guo, Ying Gao and Shugui Kang

Similarity Solutions for Multiterm Time‐Fractional Diffusion Equation

A. Elsaid, M. S. Abdel Latif and M. Maneea

The Rational Solutions and Quasi‐Periodic Wave Solutions as well as Interactions of N‐Soliton Solutions for 3 + 1 Dimensional Jimbo‐Miwa Equation

Hongwei Yang, Yong Zhang, Xiaoen Zhang, Xin Chen and Zhenhua Xu

Virtual Correlations in Single Qutrit

Alexey A. Strakhov and Vladimir I. Man’ko

Stored Coulomb Self‐Energy of a Uniformly Charged Rectangular Plate

Orion Ciftja

The Ritz Method for Boundary Problems with Essential Conditions as Constraints

Vojin Jovanovic and Sergiy Koshkin

A New Unconditionally Stable Method for Telegraph Equation Based on Associated Hermite Orthogonal Functions

Di Zhang, Fusheng Peng and Xiaoping Miao

Homotopy Analysis of the Radiation Effect on MHD Flow with Heat and Mass Transfer due to a Point Sink

C. N. Guled and B. B. Singh

Comparing First‐Order Microscopic and Macroscopic Crowd Models for an Increasing Number of Massive Agents

Alessandro Corbetta and Andrea Tosin

Computing Coherence Vectors and Correlation Matrices with Application to Quantum Discord Quantification

Jonas Maziero

Existence and Stability of Standing Waves for Nonlinear Fractional Schrödinger Equations with Hartree Type and Power Type Nonlinearities

Na Zhang and Jie Xin

Classical Logic and Quantum Logic with Multiple and Common Lattice Models

Mladen Pavičić

Conformal Vector Fields on Doubly Warped Product Manifolds and Applications

H. K. El-Sayied, Sameh Shenawy and Noha Syied

A Method of Finding Source Function for Inverse Diffusion Problem with Time‐Fractional Derivative

Vildan Gülkaç

Characterizations of Fuzzy Ideals in Coresiduated Lattices

Yan Liu and Mucong Zheng

The Bi‐Integrable Couplings of Two‐Component Casimir‐Qiao‐Liu Type Hierarchy and Their Hamiltonian Structures

Juhui Zhang and Yuqin Yao

An Operational Matrix Technique for Solving Variable Order Fractional Differential‐Integral Equation Based on the Second Kind of Chebyshev Polynomials

Jianping Liu, Xia Li and Limeng Wu

Enriched Meshfree Method for an Accurate Numerical Solution of the Motz Problem

Won-Tak Hong

New Periodic Solutions for a Class of Zakharov Equations

Cong Sun and Shuguan Ji

Curing Black Hole Singularities with Local Scale Invariance

Predrag Dominis Prester

Remarks on the Phaseless Inverse Uniqueness of a Three‐Dimensional Schrödinger Scattering Problem

Lung-Hui Chen

Iterative Methods for Solving the Fractional Form of Unsteady Axisymmetric Squeezing Fluid Flow with Slip and No‐Slip Boundaries

A. A. Hemeda and E. E. Eladdad

Vector Solitons of a Coupled Schrödinger System with Variable Coefficients

Juan Carlos Muñoz Grajales

Higher Spin Symmetries of the Free Schrödinger Equation

Mauricio Valenzuela

Null Curve Evolution in Four‐Dimensional Pseudo‐Euclidean Spaces

José del Amor, Ángel Giménez and Pascual Lucas

Notes on Conservation Laws, Equations of Motion of Matter, and Particle Fields in Lorentzian and Teleparallel de Sitter Space‐Time Structures

Waldyr A. Rodrigues and Samuel A. Wainer

Econophysics, Statistical Mechanics for Financial Applications, and Financial Mathematics

Doojin Ryu and Kiseop Lee

τ‐Complexity and Tilting Modules

Lijing Zheng, Chonghui Huang and Qianhong Wan

The Stochastic Resonance Behaviors of a Generalized Harmonic Oscillator Subject to Multiplicative and Periodically Modulated Noises

Suchuan Zhong, Kun Wei, Lu Zhang, Hong Ma and Maokang Luo

Fractal Dimension versus Process Complexity

Joost J. Joosten, Fernando Soler-Toscano and Hector Zenil

A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third‐Order Boundary Value Problems

Syeda Tehmina Ejaz and Ghulam Mustafa

Multidimensional Schrödinger Equation and Spectral Properties of Heavy‐Quarkonium Mesons at Finite Temperature

M. Abu-Shady

CRE Solvability, Exact Soliton‐Cnoidal Wave Interaction Solutions, and Nonlocal Symmetry for the Modified Boussinesq Equation

Wenguang Cheng and Biao Li

Drinfeld Realization of Quantum Twisted Affine Algebras via Braid Group

Naihuan Jing and Honglian Zhang

Construction of the Global Solutions to the Perturbed Riemann Problem for the Leroux System

Pengpeng Ji and Chun Shen

Elastic Equilibrium of Porous Cosserat Media with Double Porosity

Roman Janjgava

A Type of Multigrid Method Based on the Fixed‐Shift Inverse Iteration for the Steklov Eigenvalue Problem

Feiyan Li and Hai Bi

Asymptotic Expansion of the Solutions to Time‐Space Fractional Kuramoto‐Sivashinsky Equations

Weishi Yin, Fei Xu, Weipeng Zhang and Yixian Gao

From Boole to Leggett‐Garg: Epistemology of Bell‐Type Inequalities

Karl Hess, Hans De Raedt and Kristel Michielsen

The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control

Zhang Qunli

MHD Flow due to the Nonlinear Stretching of a Porous Sheet

Tarek M. A. El-Mistikawy

Strong Isomorphism in Eisert‐Wilkens‐Lewenstein Type Quantum Games

Piotr Frąckiewicz

Anomalous Localized Resonance Phenomena in the Nonmagnetic, Finite‐Frequency Regime

Daniel Onofrei and Andrew E. Thaler

Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications

Soo Hwan Kim

A Chaotic System with an Infinite Number of Equilibrium Points: Dynamics, Horseshoe, and Synchronization

Viet-Thanh Pham, Christos Volos, Sundarapandian Vaidyanathan and Xiong Wang

The Approximate Solution of Some Plane Boundary Value Problems of the Moment Theory of Elasticity

Roman Janjgava

Tight K‐g‐Frame and Its Novel Characterizations via Atomic Systems

Yongdong Huang and Dingli Hua

Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields

Nakao Hayashi, Chunhua Li and Pavel I. Naumkin

Quantization of a 3D Nonstationary Harmonic plus an Inverse Harmonic Potential System

Salim Medjber, Hacene Bekkar, Salah Menouar and Jeong Ryeol Choi

On Functions of Several Split‐Quaternionic Variables

Gueo Grantcharov and Camilo Montoya

The Strict AKNS Hierarchy: Its Structure and Solutions

G. F. Helminck

On the Splitting of the Einstein Field Equations with respect to General (1 + 3) Threading of Spacetime

Aurel Bejancu and Hani Reda Farran

A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi‐Hamiltonian Structure

Yuqin Yao, Shoufeng Shen and Wen-Xiu Ma

Homotopy Analysis Solution for Magnetohydrodynamic Squeezing Flow in Porous Medium

Inayat Ullah, M. T. Rahim, Hamid Khan and Mubashir Qayyum

A Consistent Immersed Finite Element Method for the Interface Elasticity Problems

Sangwon Jin, Do Y. Kwak and Daehyeon Kyeong

A General Scheme for Information Interception in the Ping‐Pong Protocol

Piotr Zawadzki and Jarosław Adam Miszczak

A New No‐Equilibrium Chaotic System and Its Topological Horseshoe Chaos

Chunmei Wang, Chunhua Hu, Jingwei Han and Shijian Cang

Homogenized Model of Two‐Phase Flow with Local Nonequilibrium in Double Porosity Media

Brahim Amaziane, Mikhail Panfilov and Leonid Pankratov

A Nonlinear Schrödinger Equation Resonating at an Essential Spectrum

Shaowei Chen and Haijun Zhou

Electromagnetic Scattering at the Waveguide Step between Equilateral Triangular Waveguides

Ana Morán-López, Juan Córcoles, Jorge A. Ruiz-Cruz, José R. Montejo-Garai and Jesús M. Rebollar

Approach in Theory of Nonlinear Evolution Equations: The Vakhnenko‐Parkes Equation

V. O. Vakhnenko and E. J. Parkes

Numerical Simulation of Entropy Growth for a Nonlinear Evolutionary Model of Random Markets

Mahdi Keshtkar, Hamidreza Navidi and Elyas Shivanian

Inverse Uniqueness in Interior Transmission Problem and Its Eigenvalue Tunneling in Simple Domain

Lung-Hui Chen

Seiberg‐Witten Like Equations on Pseudo‐Riemannian Spinc Manifolds with G22()∗ Structure

Nülifer Özdemir and Nedim Deǧirmenci

Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite‐Range Interaction

Victor Chulaevsky

A Note on the Discrete Spectrum of Gaussian Wells (I): The Ground State Energy in One Dimension

G. Muchatibaya, S. Fassari, F. Rinaldi and J. Mushanyu

Controlling Neimark‐Sacker Bifurcation in Delayed Species Model Using Feedback Controller

Jie Ran, Yanmin Liu, Jun He and Xiang Li

Explicit Solution of Reinsurance‐Investment Problem for an Insurer with Dynamic Income under Vasicek Model

Sheng De-Lei

Variational Multiscale Element Free Galerkin Method Coupled with Low‐Pass Filter for Burgers’ Equation with Small Diffusion

Ping Zhang, Xiaohua Zhang and Laizhong Song

Explicit Solutions of the Boundary Value Problems for an Ellipse with Double Porosity

Lamara Bitsadze and Natela Zirakashvili

Approximate Solution of Volterra‐Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule

Avyt Asanov, Elman Hazar, Mustafa Eroz, Kalyskan Matanova and Elmira Abdyldaeva

Interactions of Delta Shock Waves for Zero‐Pressure Gas Dynamics with Energy Conservation Law

Wei Cai and Yanyan Zhang

Analysis of a Dynamic Viscoelastic Contact Problem with Normal Compliance, Normal Damped Response, and Nonmonotone Slip Rate Dependent Friction

Mikaël Barboteu and David Danan

Optimal Stable Approximation for the Cauchy Problem for Laplace Equation

Hongfang Li and Feng Zhou

A Numberable Set of Exact Solutions for the Macroscopic Approach to Extended Thermodynamics of Polyatomic Gases with Many Moments

Maria Cristina Carrisi, Rita Enoh Tchame, Marcel Obounou and Sebastiano Pennisi

The Stability of Interbank Market Network: A Perspective on Contagion and Risk Sharing

Chi Xie, Yang Liu, Gang-Jin Wang and Yan Xu

Slug Self‐Propulsion in a Capillary Tube Mathematical Modeling and Numerical Simulation

M. I. Khodabocus, M. Sellier and V. Nock

Einstein Geometrization Philosophy and Differential Identities in PAP‐Geometry

M. I. Wanas, Nabil L. Youssef, W. El Hanafy and S. N. Osman

Formal First Integrals of General Dynamical Systems

Jia Jiao, Wenlei Li and Qingjian Zhou