Advances in Mathematical Physics

2009 - 2023

Continuation of Advances in Mathematical Physics.

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Volume 2018, issue 1, 2018

Enriched P1‐Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions

Gwanghyun Jo and Do Y. Kwak

A Formula for Eigenvalues of Jacobi Matrices with a Reflection Symmetry

S. B. Rutkevich

The Application of Minimal Length in Klein‐Gordon Equation with Hulthen Potential Using Asymptotic Iteration Method

Isnaini Lilis Elviyanti, Beta Nur Pratiwi, A. Suparmi and C. Cari

Dipolar Excitation of a Perfectly Electrically Conducting Spheroid in a Lossless Medium at the Low‐Frequency Regime

Panayiotis Vafeas

Combinatorics of Second Derivative: Graphical Proof of Glaisher‐Crofton Identity

Pawel Blasiak, Gérard H. E. Duchamp and Karol A. Penson

Formulas for Generalized Two‐Qubit Separability Probabilities

Paul B. Slater

Dynamic Characteristics of Deeply Buried Spherical Biogas Digesters in Viscoelastic Soils

Hongwei Hou, Shihu Gao, Qianqian Guo, Long Chen, Bing Wu and Lei Wang

Constructions of L∞ Algebras and Their Field Theory Realizations

Olaf Hohm, Vladislav Kupriyanov, Dieter Lüst and Matthias Traube

Nanobeams and AFM Subject to Piezoelectric and Surface Scale Effects

Julio Claeyssen, Rosemaira Copetti, Leticia Tonetto and Joao Carvalho

From the Kinematics of Precession Motion to Generalized Rabi Cycles

Danail S. Brezov, Clementina D. Mladenova and Ivaïlo M. Mladenov

Expanded (G/G2) Expansion Method to Solve Separated Variables for the 2+1‐Dimensional NNV Equation

Yong Meng

Dimensional Regularization Approach to the Renormalization Group Theory of the Generalized Sine‐Gordon Model

Takashi Yanagisawa

Rational Solutions of a Weakly Coupled Nonlocal Nonlinear Schrödinger Equation

Huijuan Zhou, Chuanzhong Li and Yueh-Lung Lin

Abundant Lump‐Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model

R. Sadat, M. Kassem and Wen-Xiu Ma

Existence and Uniqueness of Positive Solution for p‐Laplacian Kirchhoff‐Schrödinger‐Type Equation

Wei Han and Jiangyan Yao

On the Second‐Order Quantum (p, q)‐Difference Equations with Separated Boundary Conditions

Chanon Promsakon, Nattapong Kamsrisuk, Sotiris K. Ntouyas and Jessada Tariboon

Blow‐Up and Global Existence Analysis for the Viscoelastic Wave Equation with a Frictional and a Kelvin‐Voigt Damping

Fosheng Wang and Chengqiang Wang

On the Regular Integral Solutions of a Generalized Bessel Differential Equation

L. M. B. C. Campos, F. Moleiro, M. J. S. Silva and J. Paquim

Noise‐Induced Truth Seeking of Heterogeneous Hegselmann‐Krause Opinion Dynamics

Yan Liu and Lipo Mo

Existence of Positive Ground State Solution for the Nonlinear Schrödinger‐Poisson System with Potentials

Lu Xiao, Haiqin Qian, Mengmeng Qu and Jun Wang

Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole

A. Ludu

Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)‐Expansion Method

Yazhou Shi, Xiangpeng Li and Ben-gong Zhang

Rota‐Baxter Leibniz Algebras and Their Constructions

Liangyun Zhang, Linhan Li and Huihui Zheng

Equivalent Description of Hom‐Lie Algebroids

Zhen Xiong

On an Inverse Problem of Reconstructing a Heat Conduction Process from Nonlocal Data

Makhmud A. Sadybekov, Gulnar Dildabek and Marina B. Ivanova

Magnetoacoustic Heating in Nonisentropic Plasma Caused by Different Kinds of Heating‐Cooling Function

Anna Perelomova

Simultaneous Determination of the Space‐Dependent Source and the Initial Distribution in a Heat Equation by Regularizing Fourier Coefficients of the Given Measurements

Shufang Qiu, Wen Zhang and Jianmei Peng

Minimization of Stress State of a Hub of Friction Pair

Vagif M. Mirsalimov and Parvana E. Akhundova

Homotheties of a Class of Spherically Symmetric Space‐Time Admitting G3 as Maximal Isometry Group

Daud Ahmad and Kashif Habib

Duality Identities for Moduli Functions of Generalized Melvin Solutions Related to Classical Lie Algebras of Rank 4

S. V. Bolokhov and V. D. Ivashchuk

Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components

Abeer A. Mahmoud, Essam M. Abulwafa, Abd-alrahman F. Al-Araby and Atalla M. Elhanbaly

Higher‐Order Stationary Dispersive Equations on Bounded Intervals

N. A. Larkin and J. Luchesi

Lump Solutions to the (3+1)‐Dimensional Generalized B‐Type Kadomtsev‐Petviashvili Equation

Xifang Cao

Image Theory for Neumann Functions in the Prolate Spheroidal Geometry

Changfeng Xue, Robert Edmiston and Shaozhong Deng

Quantum Techniques for Reaction Networks

John C. Baez

Exact Traveling Wave Solutions of Certain Nonlinear Partial Differential Equations Using the (G′/G2)‐Expansion Method

Sekson Sirisubtawee and Sanoe Koonprasert

Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence

Zizhen Zhang, Yougang Wang and Luca Guerrini

Burgers’ Equations in the Riemannian Geometry Associated with First‐Order Differential Equations

Z. Ok Bayrakdar and T. Bayrakdar

Adaptive Fuzzy Synchronization of Fractional‐Order Chaotic Neural Networks with Backlash‐Like Hysteresis

Wenqing Fu and Heng Liu

A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons

Jean-Pierre Magnot

A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics

Xiaona Li, Minjie Xu, Xianqing Lv and Kai Fu

The Conformal Flow of Metrics and the General Penrose Inequality

Qing Han and Marcus Khuri

Generalized α‐Attractor Models from Elementary Hyperbolic Surfaces

Elena Mirela Babalic and Calin Iuliu Lazaroiu

Reachable Set Bounding for a Class of Nonlinear Time‐Varying Systems with Delay

Xingao Zhu, Yuangong Sun and Fanwei Meng

A New Integrable Variable‐Coefficient 2 + 1‐Dimensional Long Wave‐Short Wave Equation and the Generalized Dressing Method

Ting Su and Hui Hui Dai

An Exact Solution of the Second‐Order Differential Equation with the Fractional/Generalised Boundary Conditions

Mariusz Ciesielski and Tomasz Blaszczyk

Autonomous Jerk Oscillator with Cosine Hyperbolic Nonlinearity: Analysis, FPGA Implementation, and Synchronization

Karthikeyan Rajagopal, Sifeu Takougang Kingni, Gaetan Fautso Kuiate, Victor Kamdoum Tamba and Viet-Thanh Pham

Surface Localization in Impurity Band with Random Displacements and Long‐Range Interactions

Victor Chulaevsky

Nonlinear Green’s Functions for Wave Equation with Quadratic and Hyperbolic Potentials

Asatur Zh. Khurshudyan

On the Separability of Unitarily Invariant Random Quantum States: The Unbalanced Regime

Ion Nechita

The Perturbed Riemann Problem for the Aw‐Rascle Model with Modified Chaplygin Gas Pressure

Yujin Liu and Wenhua Sun

Self‐Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form

Imre F. Barna, Mihály A. Pocsai and L. Mátyás

The Quantum Cheshire Cat Effect in the Presence of Decoherence

Monika Richter, Bartosz Dziewit and Jerzy Dajka

Adaptive Finite‐Time Mixed Interlayer Synchronization of Two‐Layer Complex Networks with Time‐Varying Coupling Delay

Xiaoyun Tang, Zhanying Yang and Jie Zhang

Near‐Integrability of Low‐Dimensional Periodic Klein‐Gordon Lattices

Ognyan Christov

The Approximate Solution of 2D Dirichlet Problem in Doubly Connected Domains

Atallah El-shenawy and Elena A. Shirokova

Solitons and Other Exact Solutions for Two Nonlinear PDEs in Mathematical Physics Using the Generalized Projective Riccati Equations Method

A. M. Shahoot, K. A. E. Alurrfi, I. M. Hassan and A. M. Almsri

An Approximate Analytical Solution of the Nonlinear Schrödinger Equation with Harmonic Oscillator Using Homotopy Perturbation Method and Laplace‐Adomian Decomposition Method

Emad K. Jaradat, Omar Alomari, Mohammad Abudayah and Ala’a M. Al-Faqih

Two Types of Solutions to a Class of (p, q)‐Laplacian Systems with Critical Sobolev Exponents in RN

Jing Li and Caisheng Chen

Semiquantum Chaos in Two GaAs Quantum Dots Coupled Linearly and Quadratically by Two Harmonic Potentials in Two Dimensions

Emile Godwe, Justin Mibaile, Betchewe Gambo and Serge Y. Doka

Operator of Time and Generalized Schrödinger Equation

Slobodan Prvanović

Explicit Solution of Elastostatic Boundary Value Problems for the Elastic Circle with Voids

Ivane Tsagareli

Higher‐Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics

Francesco Toppan and Mauricio Valenzuela

Low‐Density Asymptotic Behavior of Observables of Hard Sphere Fluids

Viktor Gerasimenko and Igor Gapyak

Evaluation of Heat Irreversibility in a Thin Film Flow of Couple Stress Fluid on a Moving Belt

Samuel O. Adesanya, Ramosheuw S. Lebelo and K. C. Moloi

Diffusion Process and Reaction on a Surface

M. E. K. Fuziki, M. K. Lenzi, M. A. Ribeiro, A. Novatski and E. K. Lenzi

Motion of a Spot in a Reaction Diffusion System under the Influence of Chemotaxis

Satoshi Kawaguchi

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Victor Kamdoum Tamba, Karthikeyan Rajagopal, Viet-Thanh Pham and Duy Vo Hoang

Exact Traveling Wave Solutions to the (2 + 1)‐Dimensional Jaulent‐Miodek Equation

Yongyi Gu, Bingmao Deng and Jianming Lin

CCNV Space‐Times as Potential Supergravity Solutions

A. Coley, D. McNutt and N. Pelavas

Multiscale Numerical Simulations of Branched Polymer Melt Viscoelastic Flow Based on Double‐Equation XPP Model

Xuejuan Li, Liping Zhu and Hongyun Yue

Decay of Strong Solutions for 4D Navier‐Stokes Equations Posed on Lipschitz Domains

N. A. Larkin

Multipoint Approximation of Statistical Descriptors of Local Strain and Stress Fields in Heterogeneous Media Using Integral Equation Method

Mikhail Tashkinov

Heat Transfer in MHD Flow due to a Linearly Stretching Sheet with Induced Magnetic Field

Tarek M. A. El-Mistikawy

A New Approach to Determine Gas Diffusion Coefficients in Porous Solids by EIS: Application for NH3 and CO2 Adsorption on Zirconia and Zeolite Type 5A

Tien-Quang Nguyen, Maja Glorius and Cornelia Breitkopf

Stability and Energy‐Casimir Mapping for Integrable Deformations of the Kermack‐McKendrick System

Cristian Lăzureanu and Camelia Petrişor

Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau‐Lifshitz Equation on S2

Penghong Zhong

Local Well‐Posedness and Blow‐Up for the Solutions to the Axisymmetric Inviscid Hall‐MHD Equations

Eunji Jeong, Junha Kim and Jihoon Lee

Preservers for the Tsallis Entropy of Convex Combinations of Density Operators

Xiaochun Fang and Yihui Lao

Some Analytical Solitary Wave Solutions for the Generalized q‐Deformed Sinh‐Gordon Equation: ∂2θ/∂z∂ξ=αsinhq⁡(βθγ)p-δ

H. Eleuch

New Exact Superposition Solutions to KdV2 Equation

Piotr Rozmej and Anna Karczewska

Regularization of the Boundary‐Saddle‐Node Bifurcation

Xia Liu

The Perturbed Riemann Problem with Delta Shock for a Hyperbolic System

Xinli Han and Lijun Pan

Identification of a Time‐Dependent Coefficient in Heat Conduction Problem by New Iteration Method

Dejian Huang, Yanqing Li and Donghe Pei

Scaling Laws of Droplet Coalescence: Theory and Numerical Simulation

M. Irshad Khodabocus, Mathieu Sellier and Volker Nock

The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One‐Dimension Klein‐Gordon‐Zakharov Equations

Cong Sun and Lixia Li

Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation

Yu-Shan Bai and Qi Zhang

Theoretical and Computational Advances in Nonlinear Dynamical Systems 2018

Zhi-Yuan Sun, K. Nakkeeran, Christos Volos and Xin Yu

Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials

Oksana Bihun and Clark Mourning

A Note on the Asymptotic and Threshold Behaviour of Discrete Eigenvalues inside the Spectral Gaps of the Difference Operator with a Periodic Potential

Gift Muchatibaya and Josiah Mushanyu

Coupled Sine‐Gordon Systems in DNA Dynamics

Liya Liu and Chuanzhong Li

Willmore‐Like Tori in Killing Submersions

Manuel Barros, Óscar J. Garay and Álvaro Pámpano

The Inverse Problem of Identification of Hydrogen Permeability Model

Yury V. Zaika, Natalia I. Rodchenkova and Ekaterina K. Kostikova

On Regularity of a Weak Solution to the Navier–Stokes Equations with the Generalized Navier Slip Boundary Conditions

Jiří Neustupa and Patrick Penel

Exact Solutions with Variable Coefficient Function Forms for Conformable Fractional Partial Differential Equations by an Auxiliary Equation Method

Fanwei Meng and Qinghua Feng

Quantum Controlled Teleportation of Arbitrary Two‐Qubit State via Entangled States

Lei Shi, Kaihang Zhou, Jiahua Wei, Yu Zhu and Qiuli Zhu

On the Periodic Orbits of Four‐Particle Time‐Dependent FPU Chains

Hongwu Tang, Mingyan Xing, Qihuai Liu and Guirong Jiang

Spacelike Hypersurfaces in Weighted Generalized Robertson‐Walker Space‐Times

Ximin Liu and Ning Zhang

The Quantization of a Kerr‐AdS Black Hole

Claus Gerhardt

Ground State Solutions to a Critical Nonlocal Integrodifferential System

Min Liu, Zhijing Wang and Zhenyu Guo

Heat Transport and Majorana Fermions in a Superconducting Dot‐Wire System: An Exact Solution

Oscar Bohórquez and A. M. S. Macêdo

Global Energy Solution to the Schrödinger Equation Coupled with the Chern‐Simons Gauge and Neutral Field

Hyungjin Huh and Bora Moon

Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term

Kangqun Zhang

Conditional Lie‐Bäcklund Symmetry Reductions and Exact Solutions of a Class of Reaction‐Diffusion Equations

Xinyang Wang and Junquan Song

Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial‐Value Problem

Arno Schindlmayr

The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials

Behar Baxhaku, Ramadan Zejnullahu and Artan Berisha

Loss, Gain, and Singular Points in Open Quantum Systems

Hichem Eleuch and Ingrid Rotter

Existence of Nontrivial Solutions for Generalized Quasilinear Schrödinger Equations with Critical Growth

Quanqing Li, Kaimin Teng and Xian Wu

A Newton‐Type Approach to Approximate Travelling Wave Solutions of a Schrödinger‐Benjamin‐Ono System

Juan Carlos Muñoz Grajales

Fractional‐Order Sliding Mode Synchronization for Fractional‐Order Chaotic Systems

Chenhui Wang

Symplectic Approach of Three‐Dimensional Palatini Theory Plus a Chern‐Simons Term

Alberto Escalante and Prihel Cavildo-Sánchez

CIP Method of Characteristics for the Solution of Tide Wave Equations

Yafei Nie, Kai Fu and Xianqing Lv

Classical and Quantum Exact Solutions for a FRW Multiscalar Field Cosmology with an Exponential Potential Driven Inflation

J. Socorro, Omar E. Núñez and Rafael Hernández-Jiménez

The Convergence of Riemann Solutions to the Modified Chaplygin Gas Equations with a Coulomb‐Like Friction Term as the Pressure Vanishes

Yongqiang Fan, Lihui Guo and Gan Yin

Hom‐Yang‐Baxter Equations and Frobenius Monoidal Hom‐Algebras

Yuanyuan Chen and Liangyun Zhang

Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation

Jing Wang

On the Convergence Ball and Error Analysis of the Modified Secant Method

Rongfei Lin, Qingbiao Wu, Minhong Chen and Xuemin Lei

Quantitative Controllability Index of Complex Networks

Lifu Wang, Yali Zhang, Jingxiao Han and Zhi Kong

Coulomb Planar Periodic Motion of n Equal Charges in the Field of n Equal Positive Charges Fixed at a Line and Constant Magnetic Field

W. I. Skrypnik

Quantum Walk in Terms of Quantum Bernoulli Noise and Quantum Central Limit Theorem for Quantum Bernoulli Noise

Caishi Wang, Ce Wang, Yuling Tang and Suling Ren

On the Uniqueness of the Fock Quantization of the Dirac Field in the Closed FRW Cosmology

Jerónimo Cortez, Ilda Inácio Rodrigues, Mercedes Martín-Benito and José Velhinho

An Iterative Method for Time‐Fractional Swift‐Hohenberg Equation

Wenjin Li and Yanni Pang

On a Simple Relation between Duffin‐Kemmer‐Petiau and Tzou Algebras

Andrzej Okniński

Statistics of Finite Scale Local Lyapunov Exponents in Fully Developed Homogeneous Isotropic Turbulence

Nicola de Divitiis

Topological Derivative for Imaging of Thin Electromagnetic Inhomogeneity: Least Condition of Incident Directions

Won-Kwang Park

Lump Solutions to a (2+1)‐Dimensional Fifth‐Order KdV‐Like Equation

Sumayah Batwa and Wen-Xiu Ma

An Information Geometric Perspective on the Complexity of Macroscopic Predictions Arising from Incomplete Information

Sean Alan Ali, Carlo Cafaro, Steven Gassner and Adom Giffin

Combination‐Combination Projective Synchronization of Multiple Chaotic Systems Using Sliding Mode Control

Junwei Sun, Nan Li and Jie Fang

Strong Solutions for the Fluid‐Particle Interaction Model with Non‐Newtonian Potential

Yukun Song, Heyuan Wang and Fengming Liu

Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1‐Body PDF for Finite Hard‐Sphere Systems

Massimo Tessarotto and Claudio Cremaschini

Suppression of Chaos in Porous Media Convection under Multifrequency Gravitational Modulation

Karam Allali

A Note on Finsler Version of Calabi‐Yau Theorem

Songting Yin, Ruixin Wang and Pan Zhang

Inversion Formula for a Radon‐Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors

Sunghwan Moon

Equations with Peakon Solutions in the Negative Order Camassa‐Holm Hierarchy

Fengfeng Dong and Lingjun Zhou

The Johnson Equation, Fredholm and Wronskian Representations of Solutions, and the Case of Order Three

Pierre Gaillard

Higher Approximations to Study Statistical Characteristics of Waves in Multiscale Inhomogeneous Media

M. V. Tinin

Radial Symmetry and Monotonicity of Solutions to a System Involving Fractional p‐Laplacian in a Ball

Linfen Cao, Xiaoshan Wang and Zhaohui Dai

A Integrable Generalized Super‐NLS‐mKdV Hierarchy, Its Self‐Consistent Sources, and Conservation Laws

Hanyu Wei and Tiecheng Xia

The Solution of Initial Boundary Value Problem with Time and Space‐Fractional Diffusion Equation via a Novel Inner Product

Hulya Kodal Sevindir and Ali Demir

Generalized Matrix Exponential Solutions to the AKNS Hierarchy

Jian-bing Zhang, Canyuan Gu and Wen-Xiu Ma

Residual‐Based Simpler Block GMRES for Nonsymmetric Linear Systems with Multiple Right‐Hand Sides

Qinghua Wu, Liang Bao and Yiqin Lin