Advances in Mathematical Physics

2009 - 2023

Continuation of Advances in Mathematical Physics.

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Volume 2017, issue 1, 2017

Color Confinement and Spatial Dimensions in the Complex‐Sedenion Space

Zi-Hua Weng

Bi‐Integrable and Tri‐Integrable Couplings of a Soliton Hierarchy Associated with SO(3)

Jian Zhang, Chiping Zhang and Yunan Cui

Error Estimates on Hybridizable Discontinuous Galerkin Methods for Parabolic Equations with Nonlinear Coefficients

Minam Moon, Hyung Kyu Jun and Tay Suh

Unsteady Helical Flows of a Size‐Dependent Couple‐Stress Fluid

Qammar Rubbab, Itrat Abbas Mirza, Imran Siddique and Saadia Irshad

Hyers‐Ulam Stability and Existence of Solutions for Nigmatullin’s Fractional Diffusion Equation

Zhuoyan Gao and JinRong Wang

A New Analysis Method for Chemotaxis‐Induced Instability in Multispecies Host‐Parasitoid Systems

Huaihuo Cao

Turing Bifurcation and Pattern Formation of Stochastic Reaction‐Diffusion System

Qianiqian Zheng, Zhijie Wang, Jianwei Shen and Hussain Muhammad Ather Iqbal

Existence and Uniqueness of Periodic Solutions for a Kind of Second‐Order Neutral Functional Differential Equation with Delays

Na Wang

A Non‐Convex Partition of Unity and Stress Analysis of a Cracked Elastic Medium

Won-Tak Hong

Calculations on Lie Algebra of the Group of Affine Symplectomorphisms

Zuhier Altawallbeh

Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows

Young-Sam Kwon

On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations

Usamah S. Al-Ali, Ashfaque H. Bokhari, A. H. Kara and F. D. Zaman

An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two‐Dimensional Volterra‐Fredholm Integrodifferential Equations

F. A. Hendi and M. M. Al-Qarni

On Quantum Statistical Mechanics: A Study Guide

Wladyslaw Adam Majewski

Model Equations for Three‐Dimensional Nonlinear Water Waves under Tangential Electric Field

Bo Tao

DC Glow Discharge in Axial Magnetic Field at Low Pressures

Shen Gao, Shixiu Chen, Zengchao Ji, Wei Tian and Jun Chen

An Iterative Method for Solving of Coupled Equations for Conductive‐Radiative Heat Transfer in Dielectric Layers

Vasyl Chekurin and Yurij Boychuk

The Adaptive‐Clustering and Error‐Correction Method for Forecasting Cyanobacteria Blooms in Lakes and Reservoirs

Xiao-zhe Bai, Hui-yan Zhang, Xiao-yi Wang, Li Wang, Ji-ping Xu and Jia-bin Yu

Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience

Yan Chen, Yingchun Deng, Shengjie Yue and Chao Deng

A Fast Implicit Finite Difference Method for Fractional Advection‐Dispersion Equations with Fractional Derivative Boundary Conditions

Taohua Liu and Muzhou Hou

Qualitative and Quantitative Techniques for Differential Equations Arising in Mathematical Physics

Rehana Naz, Mariano Torrisi, Igor Leite Freire and Imran Naeem

Recent Advances in Symmetry Analysis and Exact Solutions in Nonlinear Mathematical Physics

Maria Bruzón, Chaudry M. Khalique, Maria L. Gandarias, Rita Traciná and Mariano Torrisi

Dirichlet Forms Constructed from Annihilation Operators on Bernoulli Functionals

Caishi Wang and Beiping Wang

Electromagnetic Waves Dispersion and Interaction of an Annular Beam‐Ion Channel System in Plasma Waveguide

Jixiong Xiao, Zhijiang Wang, Jun Chen and Changhai Liu

The Dynamical Behavior of a Rigid Body Relative Equilibrium Position

T. S. Amer

An Approach to Classical Quantum Field Theory Based on the Geometry of Locally Conformally Flat Space‐Time

John Mashford

Analysis of Waterman’s Method in the Case of Layered Scatterers

Victor Farafonov, Vladimir Il’in, Vladimir Ustimov and Evgeny Volkov

On Concrete Spectral Properties of a Twisted Laplacian Associated with a Central Extension of the Real Heisenberg Group

Aymane El Fardi, Allal Ghanmi and Ahmed Intissar

Izergin‐Korepin Analysis on the Projected Wavefunctions of the Generalized Free‐Fermion Model

Kohei Motegi

On Flows of Bingham‐Type Fluids with Threshold Slippage

Evgenii S. Baranovskii

Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity

Alexei A. Deriglazov and Walberto Guzmán Ramírez

Closed‐Form Exact Solutions for the Unforced Quintic Nonlinear Oscillator

Augusto Beléndez, Enrique Arribas, Tarsicio Beléndez, Carolina Pascual, Encarnación Gimeno and Mariela L. Álvarez

Modeling Anomalous Diffusion by a Subordinated Integrated Brownian Motion

Long Shi and Aiguo Xiao

Completeness and Nonclassicality of Coherent States for Generalized Oscillator Algebras

Kevin Zelaya, Oscar Rosas-Ortiz, Zurika Blanco-Garcia and Sara Cruz y Cruz

Stochastic Volatility Effects on Correlated Log‐Normal Random Variables

Yong-Ki Ma

Binormal Motion of Curves with Constant Torsion in 3‐Spaces

Josu Arroyo, Óscar J. Garay and Álvaro Pámpano

Solutions of Navier‐Stokes Equation with Coriolis Force

Sunggeun Lee, Shin-Kun Ryi and Hankwon Lim

The Convergence Ball and Error Analysis of the Relaxed Secant Method

Rongfei Lin, Qingbiao Wu, Minhong Chen and Lu Liu

The Asymptotic Behaviours of a Class of Neutral Delay Fractional‐Order Pantograph Differential Equations

Baojun Miao and Xuechen Li

Exact Partition Function for the Random Walk of an Electrostatic Field

Gabriel González

Robustness of Supercavitating Vehicles Based on Multistability Analysis

Yipin Lv, Tianhong Xiong, Wenjun Yi and Jun Guan

Conditional Well‐Posedness for an Inverse Source Problem in the Diffusion Equation Using the Variational Adjoint Method

Chunlong Sun, Qian Liu and Gongsheng Li

Remarks on Pressure Blow‐Up Criterion of the 3D Zero‐Diffusion Boussinesq Equations in Margin Besov Spaces

Min Fu and Chao Cai

Quasi‐Exact Coulomb Dynamics of n Charges n − 1 of Which Are Equal

Wolodymyr Skrypnik

Traveling Wave Solutions of Space‐Time Fractional Generalized Fifth‐Order KdV Equation

Dianchen Lu, Chen Yue and Muhammad Arshad

A Study on the Efficient Method for the Solution of the Saha Equation in the Numerical Simulation of Capillary Discharge

Hengzhu Liu, Cheng Wu, Fengjiang An and Shasha Liao

Anomalous Diffusion with an Irreversible Linear Reaction and Sorption‐Desorption Process

Maike A. F. dos Santos, Marcelo K. Lenzi and Ervin K. Lenzi

Intrinsic Optimal Control for Mechanical Systems on Lie Group

Chao Liu, Shengjing Tang and Jie Guo

Quasi‐Particles, Thermodynamic Consistency, and the Gap Equation

Enore Guadagnini

Rota‐Baxter Operators on 3‐Dimensional Lie Algebras and the Classical R‐Matrices

Linli Wu, Mengping Wang and Yongsheng Cheng

Stability Monitoring of Batch Processes with Iterative Learning Control

Yan Wang, Junwei Sun, Taishan Lou and Lexiang Wang

Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems

Minjie Xu, Kai Fu and Xianqing Lv

Robust Genetic Circuit Design: A Mixed H∞ and IQC Analysis

Ruijuan Chen, Wei Pan, Dongfei Fu and Xin He

Bernoulli Collocation Method for Solving Linear Multidimensional Diffusion and Wave Equations with Dirichlet Boundary Conditions

Bashar Zogheib, Emran Tohidi and Stanford Shateyi

The Evolutionary Properties on Solitary Solutions of Nonlinear Evolution Equations

Wenxia Chen, Danping Ding, Xiaoyan Deng and Gang Xu

Nontrivial Solution for the Fractional p‐Laplacian Equations via Perturbation Methods

Huxiao Luo, Shengjun Li and Xianhua Tang

The Magic of Universal Quantum Computing with Permutations

Michel Planat and Rukhsan Ul Haq

Numerical Simulation to Air Pollution Emission Control near an Industrial Zone

Pravitra Oyjinda and Nopparat Pochai

The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals

Nurlybek A. Ispulov, Abdul Qadir, Marat K. Zhukenov, Talgat S. Dossanov and Tanat G. Kissikov

The Spreading Residue Harmonic Balance Method for Strongly Nonlinear Vibrations of a Restrained Cantilever Beam

Y. H. Qian, J. L. Pan, S. P. Chen and M. H. Yao

Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver

R. Mahmood, N. Kousar, M. Yaqub and K. Jabeen

Robust Output Synchronization of Arrays of Chaotic Sprott Circuits

Ernesto V. Gonzalez Solis and David I. Rosas Almeida

Nonlinear Elliptic Boundary Value Problems at Resonance with Nonlinear Wentzell Boundary Conditions

Ciprian G. Gal and Mahamadi Warma

Symmetries and Properties of the Energy‐Casimir Mapping in the Ball‐Plate Problem

Cristian Lăzureanu and Tudor Bînzar

Fully Discrete Local Discontinuous Galerkin Approximation for Time‐Space Fractional Subdiffusion/Superdiffusion Equations

Meilan Qiu, Liquan Mei and Dewang Li

The Propagation of Thermoelastic Waves in Anisotropic Media of Orthorhombic, Hexagonal, and Tetragonal Syngonies

Nurlybek A. Ispulov, Abdul Qadir, Marat Zhukenov and Erkin Arinov

Twistor Parametrization of Locally BPS Super‐Wilson Loops

Cristian Vergu

An Unconventional Finite Difference Scheme for Modified Korteweg‐de Vries Equation

Canan Koroglu and Ayhan Aydin

Contrast Expansion Method for Elastic Incompressible Fibrous Composites

Piotr Drygaś and Vladimir Mityushev

The Factorization for a Class of Hom‐Coalgebras

Lihong Dong, Shuan Xue and Xiaohui Zhang

Exact Solutions for the Wick‐Type Stochastic Schamel‐Korteweg‐de Vries Equation

Xueqin Wang, Yadong Shang and Huahui Di

Hamilton‐Poisson Realizations of the Integrable Deformations of the Rikitake System

Cristian Lăzureanu

Asymptotic Stability and Asymptotic Synchronization of Memristive Regulatory‐Type Networks

Jin-E Zhang

Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate

Zizhen Zhang and Limin Song

Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space‐Times

Bismah Jamil, Tooba Feroze and Andrés Vargas

The Cauchy Problem for Space‐Time Monopole Equations in Temporal and Spatial Gauge

Hyungjin Huh and Jihyun Yim

Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation

N. Maazi

Theoretical and Computational Advances in Nonlinear Dynamical Systems

Zhi-Yuan Sun, Panayotis G. Kevrekidis, Xin Yu and K. Nakkeeran

Third‐Order Approximate Solution of Chemical Reaction‐Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method

Salem Alkhalaf

On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect

Lung-Hui Chen

L1(R)‐Nonlinear Stability of Nonlocalized Modulated Periodic Reaction‐Diffusion Waves

Soyeun Jung

New Operational Matrix via Genocchi Polynomials for Solving Fredholm‐Volterra Fractional Integro‐Differential Equations

Jian Rong Loh, Chang Phang and Abdulnasir Isah

A Statistical Damage Constitutive Model for Geomaterials under Plane‐Strain Biaxial Stress State

Hongwei Zhang, Zhijun Wan, Chaoyi Wang, Zhaoyang Ma, Yuan Zhang and Jingyi Cheng

Niemeier Lattices in the Free Fermionic Heterotic–String Formulation

Panos Athanasopoulos and Alon E. Faraggi

The Perturbed Riemann Problem for Special Keyfitz‐Kranzer System with Three Piecewise Constant States

Yuhao Jiang and Chun Shen

Numerical Inversion for the Multiple Fractional Orders in the Multiterm TFDE

Chunlong Sun, Gongsheng Li and Xianzheng Jia

Analytic Calculation of Transmission Field in Homogeneously Layered Mediums Excited by EMP

Dong-yang Sun, Wei-min Bao and Xiao-ping Li

The General Solution of Differential Equations with Caputo‐Hadamard Fractional Derivatives and Noninstantaneous Impulses

Xianzhen Zhang, Zuohua Liu, Hui Peng, Xianmin Zhang and Shiyong Yang

Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations

A. V. Krysko, Jan Awrejcewicz, Irina V. Papkova, Olga Szymanowska and V. A. Krysko

Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients

Vladislav V. Kravchenko, Josafath A. Otero and Sergii M. Torba

The Neumann Problem for a Degenerate Elliptic System Near Resonance

Yu-Cheng An and Hong-Min Suo

An Entropy for Groups of Intermediate Growth

Nikolaos Kalogeropoulos

Nonlinear Hydroelastic Waves Generated due to a Floating Elastic Plate in a Current

Ping Wang, Yongyan Wang, Chuanqi Su and Yanzhao Yang

Third‐Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction‐Diffusion Equations

Keqin Su and Jie Cao

Effect of Internal Heat Source on the Onset of Double‐Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy

I. K. Khalid, N. F. M. Mokhtar, I. Hashim, Z. B. Ibrahim and S. S. A. Gani

Computation of the Stability and Complexity about Triopoly Price Game Model with Delay Decision

Yuling Wang, Shubing Guo and Shide Duan

Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping

Hongjun Qiu and Yinghui Zhang

Guaranteed Cost Finite‐Time Control of Fractional‐Order Positive Switched Systems

Leipo Liu, Xiangyang Cao, Zhumu Fu and Shuzhong Song

Numerical Solution of Time‐Fractional Diffusion‐Wave Equations via Chebyshev Wavelets Collocation Method

Fengying Zhou and Xiaoyong Xu

Canonical Forms and Their Integrability for Systems of Three 2nd‐Order ODEs

S. Zahida, M. N. Qureshi and Muhammad Ayub

Twisted Frobenius Identities from Vertex Operator Superalgebras

Alexander Zuevsky

Elliptic Function Solutions in Jackiw‐Teitelboim Dilaton Gravity

Jennie D’Ambroise and Floyd L. Williams

Two Kinds of Classifications Based on Improved Gravitational Search Algorithm and Particle Swarm Optimization Algorithm

Hongping Hu, Xiaxia Cui and Yanping Bai

PID Controller Singularly Perturbing Impulsive Differential Equations and Optimal Control Problem

Wichai Witayakiattilerd

Adaptive Modified Function Projective Lag Synchronization of Memristor‐Based Five‐Order Chaotic Circuit Systems

Qiaoping Li and Sanyang Liu

Lump Solutions and Resonance Stripe Solitons to the (2+1)‐Dimensional Sawada‐Kotera Equation

Xian Li, Yao Wang, Meidan Chen and Biao Li

Heat Transfer in a Porous Radial Fin: Analysis of Numerically Obtained Solutions

R. Jooma and C. Harley

Global Well‐Posedness for a Class of Kirchhoff‐Type Wave System

Xiaoli Jiang and Xiaofeng Wang

Singular Solutions to a (3 + 1)‐D Protter‐Morawetz Problem for Keldysh‐Type Equations

Nedyu Popivanov, Tsvetan Hristov, Aleksey Nikolov and Manfred Schneider

Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations

Yongjin Li and Kamal Shah

The Study of Seismic Response on Accelerated Contained Fluid

Kamila Kotrasova and Eva Kormanikova

On the Existence of Solutions for Impulsive Fractional Differential Equations

Yongliang Guan, Zengqin Zhao and Xiuli Lin

Improved Finite Time in Eliminating Disagreement of Opinion Dynamics via Noise

Yong Ding and Lipo Mo

Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric

V. Vázquez-Báez and C. Ramírez

Basic Generic Properties of Regular Rotating Black Holes and Solitons

Irina Dymnikova and Evgeny Galaktionov

Some Discussions about the Error Functions on SO(3) and SE(3) for the Guidance of a UAV Using the Screw Algebra Theory

Yi Zhu, Xin Chen and Chuntao Li