Advances in Mathematical Physics

2009 - 2023

Continuation of Advances in Mathematical Physics.

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Volume 2015, issue 1, 2015

The Steiner Formula and the Polar Moment of Inertia for the Closed Planar Homothetic Motions in Complex Plane

Ayhan Tutar and Onder Sener

Numerical Solutions for the Eighth‐Order Initial and Boundary Value Problems Using the Second Kind Chebyshev Wavelets

Xiaoyong Xu and Fengying Zhou

Second‐Order Integrals for Systems in E2 Involving Spin

İsmet Yurduşen

Centroids of Lie Supertriple Systems

Jianrong Peng, Liangyun Chen and Bing Sun

Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous Bodies

Y. G. Smirnov and A. A. Tsupak

Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method

Muhammad Suleman and Qingbiao Wu

Orbital Stability of Solitary Traveling Waves of Moderate Amplitude

Zhengyong Ouyang

Bound‐State Solution of s‐Wave Klein‐Gordon Equation for Woods‐Saxon Potential

Eser Olğar and Haydar Mutaf

Compound Synchronization of Four Chaotic Complex Systems

Junwei Sun, Yi Shen and Guangzhao Cui

Adaptive Synchronization of Chaotic Systems considering Performance Parameters of Operational Amplifiers

Sergio Ruíz-Hernández, Eduardo Ortega-Torres, Carlos Sánchez-López, Miguel Angel Carrasco-Aguilar, Rocio Ochoa-Montiel, Rocio Ilhuicatzi-Roldán and Marco Antonio Taneco-Hernández

Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications

Changyong Cao and Qing-Hua Qin

Exact Relativistic Magnetized Haloes around Rotating Disks

Antonio C. Gutiérrez-Piñeres and Abraão J. S. Capistrano

Uniqueness and Nonuniqueness in Inverse Problems for Elliptic Partial Differential Equations and Related Medical Imaging

Kiwoon Kwon

Geometry of the Solutions of Localized Induction Equation in the Pseudo‐Galilean Space

Muhittin Evren Aydin, Adela Mihai, Alper Osman Ogrenmis and Mahmut Ergut

The Interactions of N‐Soliton Solutions for the Generalized (2 + 1)‐Dimensional Variable‐Coefficient Fifth‐Order KdV Equation

Xiangrong Wang, Xiaoen Zhang, Yong Zhang and Huanhe Dong

Investigating the Nanoparticles Penetration Efficiency through Horizontal Tubes Using an Experimental Approach

Zhaoqin Yin and Zhongping Dai

Jordan Isomorphisms on Nest Subalgebras

Aili Yang

The Breather‐Like and Rational Solutions for the Integrable Kadomtsev‐Petviashvili‐Based System

Chuanjian Wang, Zhengde Dai and Changfu Liu

One‐Dimensional Coulomb Multiparticle Systems

V. A. Malyshev and A. A. Zamyatin

Bi‐Integrable Couplings of a New Soliton Hierarchy Associated with SO(4)

Yan Cao, Liangyun Chen and Baiying He

Corrigendum to “Convergence Analysis of Legendre Pseudospectral Scheme for Solving Nonlinear Systems of Volterra Integral Equations”

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

Towards Noncommutative Linking Numbers via the Seiberg‐Witten Map

H. García-Compeán, O. Obregón and R. Santos-Silva

On Finsler Geometry and Applications in Mechanics: Review and New Perspectives

J. D. Clayton

Power Load Prediction Based on Fractal Theory

Liang Jian-Kai, Carlo Cattani and Song Wan-Qing

Optimal Homotopy Asymptotic Solution for Exothermic Reactions Model with Constant Heat Source in a Porous Medium

Fazle Mabood and Nopparat Pochai

Dynamics of a General Stochastic Nonautonomous Lotka‐Volterra Model with Delays and Impulsive Perturbations

Qing Wang, Yongguang Yu and Shuo Zhang

Hom‐O‐Operators and Hom‐Yang‐Baxter Equations

Yuanyuan Chen and Liangyun Zhang

Influence of Hierarchic Structure on the Moisture Permeability of Biomimic Woven Fabric Using Fractal Derivative Method

Jie Fan, Na Zhu, Li-li Wang, Zhi Liu, Chang-Yuan Wang and Yong Liu

Existence of Exponential p‐Stability Nonconstant Equilibrium of Markovian Jumping Nonlinear Diffusion Equations via Ekeland Variational Principle

Ruofeng Rao and Shouming Zhong

Orthogonal Projections Based on Hyperbolic and Spherical n‐Simplex

Murat Savas, Baki Karliga and Atakan T. Yakut

Weyl‐Euler‐Lagrange Equations of Motion on Flat Manifold

Zeki Kasap

Stability of Negative Solitary Waves for a Generalized Camassa‐Holm Equation with Quartic Nonlinearity

Shan Zheng and Zhengyong Ouyang

The Interaction of Iteration Error and Stability for Linear Partial Differential Equations Coupled through an Interface

B. Sheehan, D. Estep, S. Tavener, J. Cary, S. Kruger, A. Hakim, A. Pletzer, J. Carlsson and S. Vadlamani

Constant Mean Curvature Spacelike Surfaces in Lorentzian Warped Products

Juan A. Aledo and Rafael M. Rubio

Existence of Multiple Positive Solutions for Choquard Equation with Perturbation

Tao Xie, Lu Xiao and Jun Wang

On the Nonlinear Perturbation K(n, m) Rosenau‐Hyman Equation: A Model of Nonlinear Scattering Wave

Abdon Atangana, Dumitru Baleanu, Maysaa’ Mohamed Al Qurashi and Xiao-Jun Yang

The Periodic Boundary Value Problem for the Weakly Dissipative μ‐Hunter‐Saxton Equation

Zhengyong Ouyang, Xiangdong Wang and Haiwu Rong

Similarity Measures of Sequence of Fuzzy Numbers and Fuzzy Risk Analysis

Zarife Zararsız

Mathematical Properties of the Hyperbolicity of Circulant Networks

Juan C. Hernández, José M. Rodríguez and José M. Sigarreta

Spatial Rotation of the Fractional Derivative in Two‐Dimensional Space

Ehab Malkawi

Deformed Entropic and Information Inequalities for X‐States of Two‐Qubit and Single Qudit States

V. I. Man’ko and L. A. Markovich

Study on Impeller Fracture Model Based on Vibration Characteristics and Fractal Theory

Xiaolong Zhang, Ruishan Yuan and Yonghui Xie

Entropic Lower Bound for Distinguishability of Quantum States

Seungho Yang, Jinhyoung Lee and Hyunseok Jeong

A Variational Approach to Electrostatics of Polarizable Heterogeneous Substances

Michael Grinfeld and Pavel Grinfeld

Anisotropic Characteristics of Turbulence Dissipation in Swirling Flow: A Direct Numerical Simulation Study

Xingtuan Yang, Nan Gui, Gongnan Xie, Jie Yan, Jiyuan Tu and Shengyao Jiang

Existence Results for the Periodic Thomas‐Fermi‐Dirac‐von Weizsäcker Equations

Shaowei Chen, Lishan Lin and Liqin Xiao

On Relations between One‐Dimensional Quantum and Two‐Dimensional Classical Spin Systems

J. Hutchinson, J. P. Keating and F. Mezzadri

RT‐Symmetric Laplace Operators on Star Graphs: Real Spectrum and Self‐Adjointness

Maria Astudillo, Pavel Kurasov and Muhammad Usman

Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt

Fazle Mabood and Nopparat Pochai

Eigenvalues for a Neumann Boundary Problem Involving the p(x)‐Laplacian

Qing Miao

The Intersection Probability of Brownian Motion and SLEκ

Shizhong Zhou and Shiyi Lan

Formulas for Rational‐Valued Separability Probabilities of Random Induced Generalized Two‐Qubit States

Paul B. Slater and Charles F. Dunkl

A Brief Observational History of the Black‐Hole Spacetimes

Wolfgang Kundt

Guided Electromagnetic Waves Propagating in a Two‐Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity

E. Yu. Smol’kin and D. V. Valovik

The Ellipsoidal Vortex: A Novel Approach to Geophysical Turbulence

William J. McKiver

Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective

José Velhinho

Continuum Model for Traffic Flow considering Safe Driving Awareness Heterogeneity

Youzhi Zeng and Ning Zhang

Novel Second‐Order Accurate Implicit Numerical Methods for the Riesz Space Distributed‐Order Advection‐Dispersion Equations

X. Wang, F. Liu and X. Chen

Optimal Control Method of Parabolic Partial Differential Equations and Its Application to Heat Transfer Model in Continuous Cast Secondary Cooling Zone

Yuan Wang, Xiaochuan Luo and Sai Li

Automorphism Properties and Classification of Adinkras

B. L. Douglas, S. James Gates, B. L. Segler and J. B. Wang

Connection Formulae between Ellipsoidal and Spherical Harmonics with Applications to Fluid Dynamics and Electromagnetic Scattering

Michael Doschoris and Panayiotis Vafeas

Exact Solutions for Some Fractional Differential Equations

Abdullah Sonmezoglu

On the Rate of Convergence by Generalized Baskakov Operators

Yi Gao, Wenshuai Wang and Shigang Yue

Long‐Time Behavior of Solution for a Reactor Model

Yantao Guo, Jianwei Shen and Qianqian Zheng

Local Strong Solution for a Class of Shear Thickening Fluids with Non‐Newtonian Potential and Heat‐Conducting

Yunliang Zhang and Zhidong Guo

Random 2D Composites and the Generalized Method of Schwarz

Vladimir Mityushev

Memory Effects on Nonlinear Temperature and Pressure Wave Propagation in the Boundary between Two Fluid‐Saturated Porous Rocks

R. Garra, E. Salusti and R. Droghei

Energy Distribution of a Regular Black Hole Solution in Einstein‐Nonlinear Electrodynamics

I. Radinschi, F. Rahaman, Th. Grammenos, A. Spanou and Sayeedul Islam

Synthesis of Relativistic Wave Equations: The Noninteracting Case

Andrzej Okniński

Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms

Erhan Pişkin

Unsteady Flows of a Generalized Fractional Burgers’ Fluid between Two Side Walls Perpendicular to a Plate

Jianhong Kang, Yingke Liu and Tongqiang Xia

Infinitely Many Standing Waves for the Nonlinear Chern‐Simons‐Schrödinger Equations

Jinmyoung Seok

Generalized Taylor Series Method for Solving Nonlinear Fractional Differential Equations with Modified Riemann‐Liouville Derivative

Süleyman Öğrekçi

Construction of Analytic Solution for Time‐Fractional Boussinesq Equation Using Iterative Method

Fei Xu, Yixian Gao and Weipeng Zhang

Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity

Irina Dymnikova, Evgeny Galaktionov and Eduard Tropp

Existence of Center for Planar Differential Systems with Impulsive Perturbations

Dengguo Xu

A Regime Switching Model of Schooling Choice as a Job Search Process

Yong Hyun Shin and Ho-Seok Lee

Local System Matrix Compression for Efficient Reconstruction in Magnetic Particle Imaging

T. Knopp and A. Weber

Comparison of 3D Adaptive Remeshing Strategies for Finite Element Simulations of Electromagnetic Heating of Gold Nanoparticles

Fadhil Mezghani, Dominique Barchiesi, Abel Cherouat, Thomas Grosges and Houman Borouchaki

Reconstruction of the Magnetic Particle Imaging System Matrix Using Symmetries and Compressed Sensing

A. Weber and T. Knopp

Hypersurface Constrained Elasticae in Lorentzian Space Forms

Óscar J. Garay, Álvaro Pámpano and Changhwa Woo

Approximate Analytical Solutions of the Fractional‐Order Brusselator System Using the Polynomial Least Squares Method

Constantin Bota and Bogdan Căruntu

A Numerical Method for Solving Fractional Differential Equations by Using Neural Network

Haidong Qu and Xuan Liu

Coupling Influence on Signal Readout of a Dual‐Parameter LC Resonant System

Jijun Xiong, Tanyong Wei, Tao Luo, Qiulin Tan, Chenyang Xue, Jun Liu and Wendong Zhang

Incompressible Limit for the Compressible Flows of Nematic Liquid Crystals in the Whole Space

Young-Sam Kwon

Analytical Solutions of the Balance Equation for the Scalar Variance in One‐Dimensional Turbulent Flows under Stationary Conditions

Andrea Amicarelli, Annalisa Di Bernardino, Franco Catalano, Giovanni Leuzzi and Paolo Monti

Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)‐Dimensional Nonlinear Schrödinger Equation with Dual‐Power Law Nonlinearity

Qing Meng, Bin He and Zhenyang Li

The Relationship between Focal Surfaces and Surfaces at a Constant Distance from the Edge of Regression on a Surface

Semra Yurttancikmaz and Omer Tarakci

Links between (γn, σk)‐KP Hierarchy, (γn, σk)‐mKP Hierarchy, and (2+1)‐(γn, σk)‐Harry Dym Hierarchy

Yehui Huang, Yuqin Yao and Yunbo Zeng

Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds

Shenyang Tan, Tiren Huang and Wenbin Zhang

Mechanics and Geometry of Solids and Surfaces

J. D. Clayton, M. A. Grinfeld, T. Hasebe and J. R. Mayeur

Stability Criteria for Volterra Integrodynamic System

Nusrat Yasmin, Awais Younus, Usman Ali and Safia Mirza

Lie Symmetry Analysis of a First‐Order Feedback Model of Option Pricing

Winter Sinkala and Tembinkosi F. Nkalashe

Structures and Low Dimensional Classifications of Hom‐Poisson Superalgebras

Qingcheng Zhang, Chunyue Wang and Zhu Wei

Behavior of a Free Dual‐Spin Gyrostat with Different Ratios of Inertia Moments

Vladimir Aslanov

Mannheim Curves in Nonflat 3‐Dimensional Space Forms

Wenjing Zhao, Donghe Pei and Xinyu Cao

The Nonlinear Hydroelastic Response of a Semi‐Infinite Elastic Plate Floating on a Fluid due to Incident Progressive Waves

Ping Wang

Role of Time Relaxation in a One‐Dimensional Diffusion‐Advection Model of Water and Salt Transport

Igor Medved’ and Robert Černý

Loop Quantization of a 3D Abelian BF Model with σ‐Model Matter

Diego C. M. Mendonça and Olivier Piguet

A Novel Approach to Solve Quasiexactly Solvable Pauli Equation

Ramazan Koç, Eser Olğar and Haydar Mutaf

On the Deformation Retract of Eguchi‐Hanson Space and Its Folding

H. Rafat and Nasr Ahmed

Generalized Bilinear Differential Operators Application in a (3+1)‐Dimensional Generalized Shallow Water Equation

Jingzhu Wu, Xiuzhi Xing and Xianguo Geng

The Computation of the Magnitude of the Far Field for an Eccentric Circular Cylinder

Bülent Yılmaz

Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances

Sara Cruz y Cruz and Oscar Rosas-Ortiz

Analytical Models for Gravitating Radiating Systems

B. P. Brassel, S. D. Maharaj and G. Govender

On Homogeneous Parameter‐Dependent Quadratic Lyapunov Function for Robust H∞ Filtering Design in Switched Linear Discrete‐Time Systems with Polytopic Uncertainties

Guochen Pang and Kanjian Zhang

Kawahara‐Burgers Equation on a Strip

N. A. Larkin

A Meshless Method Based on the Fundamental Solution and Radial Basis Function for Solving an Inverse Heat Conduction Problem

Muhammad Arghand and Majid Amirfakhrian

Simple Modules for Modular Lie Superalgebras W(0∣n), S(0∣n), and K(n)

Zhu Wei, Qingcheng Zhang, Yongzheng Zhang and Chunyue Wang

Generalized Wavelet Fisher’s Information of 1/fα Signals

Julio Ramírez-Pacheco, Homero Toral-Cruz, Luis Rizo-Domínguez and Joaquin Cortez-Gonzalez

Formal Pseudodifferential Operators in One and Several Variables, Central Extensions, and Integrable Systems

Jarnishs Beltran and Enrique G. Reyes

Thermal Ground State and Nonthermal Probes

Thierry Grandou and Ralf Hofmann

Geometrical Applications of Split Octonions

Merab Gogberashvili and Otari Sakhelashvili

System Reliability Evaluation Based on Convex Combination Considering Operation and Maintenance Strategy

Lijie Li, Limin Jia and Yanhui Wang

On the Nonlinear Fractional Differential Equations with Caputo Sequential Fractional Derivative

Hailong Ye and Rui Huang

Two Kinds of New Integrable Couplings of the Negative‐Order Korteweg‐de Vries Equation

Binlu Feng and Yufeng Zhang

The Rabi Oscillation in Subdynamic System for Quantum Computing

Bi Qiao and Gu Jiayin

Simultaneous Invariants of Strain and Rotation Rate Tensors and Their Admitted Region

Igor Vigdorovich and Holger Foysi

The Thermal Statistics of Quasi‐Probabilities’ Analogs in Phase Space

F. Pennini, A. Plastino and M. C. Rocca

Higher‐Stage Noether Identities and Second Noether Theorems

G. Sardanashvily

(2 + 1)‐Dimensional mKdV Hierarchy and Chirp Effect of Rossby Solitary Waves

Chunlei Wang, Yong Zhang, Baoshu Yin and Xiaoen Zhang

Properties of Stark Resonant States in Exactly Solvable Systems

Jeffrey M. Brown and Miroslav Kolesik

The Global Symmetry Group of Quantum Spectral Beams and Geometric Phase Factors

Elias Zafiris

On a Conjecture regarding Fisher Information

Angelo Plastino, Guido Bellomo and Angel Ricardo Plastino

Hamiltonian Dynamics and Adiabatic Invariants for Time‐Dependent Superconducting Qubit‐Oscillators and Resonators in Quantum Computing Systems

Jeong Ryeol Choi

A Simpler GMRES Method for Oscillatory Integrals with Irregular Oscillations

Qinghua Wu and Meiying Xiang