Advances in Mathematical Physics

Papers
(The median citation count of Advances in Mathematical Physics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-01-01 to 2026-01-01.)
ArticleCitations
Different Dimension Synchronization of Bidirectionally Coupled Chaotic Systems With Unknown Time‐Varying Parameter Interference26
Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials21
Retracted: A Cloud Computing-Based Intelligent Forecasting Method for Cross-Border E-Commerce Logistics Costs16
Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink15
Transient Response of Multiple Interface Cracks in Fine-Grained Coating Composite Structures under Impact Loading14
Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg-de Vries Equation13
Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group13
A Bayesian-Weighted Inverse Gaussian Regression Model with Application to Seismological Data12
Financial Futures Prediction Using Fuzzy Rough Set and Synthetic Minority Oversampling Technique11
Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation11
New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy11
A Simple and Effective Second‐Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo‐Tempered Fractional Derivative11
Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method11
Some Conditions of Non-Blow-Up of Generalized Inviscid Surface Quasigeostrophic Equation11
Growth Series of the Braid Monoid M 11
A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations10
A Newmark Integral Method in Nonhomogeneous Materials With Parallel Cracks Based on Hyperbolic Heat Conduction10
Multifeature Contrast Enhancement Algorithm for Digital Media Images Based on the Diffusion Equation10
Monotone Iterative Technique for a Kind of Nonlinear Fourth-Order Integro-Differential Equations and Its Application9
Extending General Covariance: A Unified Framework for Electromagnetic Interactions and Geometric Unification9
A Study on Vague Graph Structures with an Application9
A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application9
Retracted: Use Python Data Analysis to Gain Insights from Airbnb Hosts9
Formula of Cylindrical Spring Stiffness for Nonlinear Large Deformation and Its FEM Verification8
Application of Virtual Reality Technology and Unsupervised Video Object Segmentation Algorithm in 3D Model Modeling8
Image Segmentation Techniques for Intelligent Monitoring of Putonghua Examinations8
Single Reflect-Mirror Laser Communication Tracking-Pointing System Load Technology for Micronanosatellite7
An Algorithm for Solving Phase‐Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel7
Diverse Soliton Structures of the ( 2 + 17
Simulating New CKO as a Model of Seismic Sea Waves via Unified Solver7
Approximate Analytical Solution of the Influences of Magnetic Field and Chemical Reaction on Unsteady Convective Heat and Mass Transfer of Air, Water, and Electrolyte Fluids Subject to Newtonian Heati7
High-Order Spectral Method of Density Estimation for Stochastic Differential Equation Driven by Multivariate Gaussian Random Variables7
The Separation Properties of Binary Topological Spaces7
Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials7
Jewelry Packaging User Demand Analysis Based on Fuzzy Kano Model7
Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation6
Energy‐Minimization Models for Hybrid Carbon Nanotori Production6
Double Sumudu Transform Iterative Method for One-Dimensional Nonlinear Coupled Sine-Gordon Equation6
On the Characterization of Antineutrosophic Subgroup6
Dynamic Behaviors and Analytical Solutions of the Damped (2+1)‐Dimensional Nonlinear Schrödinger Equation6
The Cross-Postgraduate Training Mode Driven by Intelligent Signal Processing Technology: Taking the Major of Finance as an Example6
Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions6
A New Fundamental Asymmetric Wave Equation and Its Application to Acoustic Wave Propagation6
Crank–Nicolson Method for Singularly Perturbed Unsteady Parabolic Problem With Multiple Boundary Turning Points5
Lattice Boltzmann Method for the Generalized Black-Scholes Equation5
Effect of Classical and Quantum Superposition of Atomic States on Quantum Correlations5
Human Position Detection Based on Depth Camera Image Information in Mechanical Safety5
Quantization of the Super-BMS3 Algebra5
Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions5
Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation5
On Compact Trans-Sasakian Manifolds5
Approximate Analytical Study of Time-Dependent MHD Casson Hybrid Nanofluid over a Stretching Sheet and Considering Thermal Radiation5
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring5
Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method5
Command Filter AILC for Finite Time Accurate Tracking of Aircraft Track Angle System Based on Fuzzy Logic5
Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface5
Research on Customer Requirement-Driven Individualized Product Module Division and Configuration Based on Community Structure5
Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation4
Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation4
Triple Diffusive Convection in a Fluid Layer Under an A.C Electric Field4
An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins4
Retracted: The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness4
A New Type-3 Fuzzy PID for Energy Management in Microgrids4
Using Image Feature Extraction to Identification of Ancient Ceramics Based on Partial Differential Equation4
A Method of Constructing Superpotentials by Combining Two Functions Based on Shape Invariance4
Exploring Microbial Dynamics and Heat Transmission in a Nonlinear Radiative Maxwell Nanomaterial With Sensitivity Analysis4
Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation4
Numerical Investigation of Ternary Hybrid Non‐Newtonian Nanofluids and Heat Transport Over an Inclined Shrinking Sheet Utilizing Artificial Neural Network4
Retracted: Study on Announcement Effect of Stock Repurchase from the Perspective of Configuration Analysis4
Dynamics Analyses and Parameter Estimation of an Improved Fractional‐Order SEAIRQ COVID‐19 Dynamic Model Based on Two Types of Fractional Derivative Operators4
Dynamical Analysis of Nonlocalized Wave Solutions of 4
Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation4
Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium‐Doped Fiber4
Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine4
Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods3
Computational Fluid Dynamics for Cavity Natural Heat Convection: Numerical Analysis and Optimization in Greenhouse Application3
Central Extensions and Nijenhuis Operators of Hom- δ -Jordan Lie Triple System3
Exact Solutions of the Nonlinear Space-Time Fractional Partial Differential Symmetric Regularized Long Wave (SRLW) Equation by Employing Two Methods3
Correlation Filtering Algorithm of Infrared Spectral Data for Dim Target Tracking3
Collisional Solitons Described by Two-Sided Beta Time Fractional Korteweg-de Vries Equations in Fluid-Filled Elastic Tubes3
Radar Target Detection with K‐Nearest Neighbor Manifold Filter on Riemannian Manifold3
Stability and Finite-Time Synchronization Analysis for Recurrent Neural Networks with Improved Integral-Type Time-Varying Delays3
Sharp Threshold of Global Existence and Mass Concentration for the Schrödinger–Hartree Equation with Anisotropic Harmonic Confinement3
Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions3
Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense3
Dynamical Property of the Shift Map under Group Action3
FSE‐RBFNN‐Based AILC of Finite Time Complete Tracking for a Class of Time‐Varying NPNL Systems with Initial State Errors3
Exploring Solution Strategies for Volterra Integro‐Differential Lane–Emden Equations in Astrophysics Using Haar Scale 3 Wavelets3
A Finite Difference Method for Solving Unsteady Fractional Oldroyd-B Viscoelastic Flow Based on Caputo Derivative3
Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation3
Analysis and Prediction of the Dynamic Antiplane Characteristics of an Elastic Wedge-Shaped Quarter-Space Containing a Circular Hole3
Analysis of Fractional Differential Equations with the Help of Different Operators3
Constructing Attention‐LSTM‐VAE Power Load Model Based on Multiple Features3
Algebro-Geometric Solutions of a ( 2 + 13
Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows3
3
Predicting Screening Efficiency of Probability Screens Using KPCA‐GRNN with WP‐EE Feature Reconstruction3
-Ricci Tensor onα-Cosymplectic Ma2
New Solitons and Multishock Wave Structures for the Conformable Space Fractional Burger and Time Fractional Sharma-Tasso-Olver Models2
Existence and Nonexistence of Traveling Wave Solutions for a Reaction–Diffusion Preys–Predator System with Switching Effect2
Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words2
Aspects of Non-unique Solutions for Hiemenz Flow Filled with Ternary Hybrid Nanofluid over a Stretching/Shrinking Sheet2
Exploring Nonlinear Dynamics and Solitary Waves in the Fractional Klein–Gordon Model2
An Application of thet-Extension of thep2
Wave Propagation in Fractional Space: A Riesz Derivative Approach2
Some New Characterizations of Real Hypersurfaces with Isometric Reeb Flow in Complex Two-Plane Grassmannians2
The Darboux Transformation for a New Fractional Schrödinger Equation Hierarchy2
Analytic Simulation for Magnetohydrodynamic Unsteady Buongiorno Model Hybrid Nanofluid Flow over Stretching2
Optical Solitons and Single Traveling Wave Solutions for the Fiber Bragg Gratings with Generalized Anticubic Nonlinearity2
Analysis of Fractional Thin Film Flow of Third Grade Fluid in Lifting and Drainage via Homotopy Perturbation Procedure2
Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids2
Theoretical Analysis of Two Collinear Cracks in an Orthotropic Solid under Linear Thermal Flux and Linear Mechanical Load2
Superconvergence of Semidiscrete Splitting Positive Definite Mixed Finite Elements for Hyperbolic Optimal Control Problems2
A Solution of the Complex Fuzzy Heat Equation in Terms of Complex Dirichlet Conditions Using a Modified Crank–Nicolson Method2
Two New Modifications of the Exp-Function Method for Solving the Fractional-Order Hirota-Satsuma Coupled KdV2
Modified Homotopy Perturbation Method and Approximate Solutions to a Class of Local Fractional Integrodifferential Equations2
Exact Solution of ( 4 + 1 2
Stationary‐Angle Conditions and Bertrand Offsets in Timelike‐Ruled Surfaces2
A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T 2
An Approximation Method for Variational Inequality with Uncertain Variables2
Position Vectors of the Natural Mate and Conjugate of a Space Curve2
The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation2
Convolution Representation of Traveling Pulses in Reaction-Diffusion Systems2
G -Chain Mixing and 2
Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential2
Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching2
Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation2
Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay Couplings2
The Exact Solutions of the Conformable Time-Fractional Modified Nonlinear Schrödinger Equation by the Trial Equation Method and Modified Trial Equation Method2
Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation2
General Relativity Sans Differential Geometry: Representing Tensor Elements by Exponential Terms2
Evaluation and Analysis of Land Input-Output Comprehensive Benefit Based on Fuzzy Mathematics and Analytic Hierarchy Process2
The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method2
Construction and Application of Video Big Data Analysis Platform for Smart City Development2
Solutions of Nonlinear Integro-Partial Differential Equations by the Method of 2
Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group2
Abundant Exact Soliton Solutions of the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Cha2
New Optical Solitons in Bragg Grating Fibers for the Nonlinear Coupled ( 2 +2
An Improved Boundary Element Method for Predicting Half-Space Scattered Noise Combined with Permeable Boundaries2
Free Convection Heat Transfer in Composite Enclosures with Porous and Nanofluid Layers2
The Study of Cross-Border Trade with Third-Party Payment Institutions in China1
Recent Developments and the Causes of Globalization for the Chinese Yuan Based on Statistical Analysis1
A Semiparametric Approach for Modeling Partially Linear Autoregressive Model with Skew Normal Innovations1
Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary1
Combined Damped Sinusoidal Oscillation Solutions to the (3 + 1)-D Variable-Coefficient Generalized NLW Equation in Liquid with Gas Bubbles1
Retracted: Multiperson Target Dynamic Tracking Method for Athlete Training Based on Wireless Body Area Network1
Exact Solutions and Dynamic Properties of the Perturbed Nonlinear Schrödinger Equation with Conformable Fractional Derivatives Arising in Nanooptical Fibers1
Gyroscopic Torques Generated by a Spinning Ring Torus1
Intelligent Image Analysis and Recognition Method for Art Design Majors1
Analytical Solutions to Two-Dimensional Nonlinear Telegraph Equations Using the Conformable Triple Laplace Transform Iterative Method1
Output Regulation of Switched Stochastic Systems with Sampled-Data Control1
Target Mining and Recognition of Product Form Innovation Design Based on Image Word Similarity Model1
Two Numerical Methods for Solving the Schrödinger Parabolic and Pseudoparabolic Partial Differential Equations1
A New Translation Operator by Covariant Derivative in the Generalized Space1
Solving the Nonlinear Charged Particle Oscillation Equation Using the Laplace–Adomian Decomposition Method1
Interaction Solutions of the (2+1)-Dimensional Sawada-Kotera Equation1
Analytical Treatments for a Coupled (2+1)‐Dimensional Partial Differential Equations in Nonlinear Physics1
Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative1
Computational Role of Autocatalytic Chemical Reaction in the Dynamics of a Ternary Hybrid Nanofluid Past a Rotating Stretching Surface1
Use of Finite Element Method for Free Convection of Nanofluids between a Rectangular Enclosure and a Sinusoidal Cylinder Using Buongiorno’s Two-Phase Model1
Retracted: ECG Signal Detection and Classification of Heart Rhythm Diseases Based on ResNet and LSTM1
Computational Simulations; Abundant Optical Wave Solutions Atangana Conformable Fractional Nonlinear Schrödinger Equation1
A New Methodology for Solving Piecewise Quadratic Fuzzy Cooperative Continuous Static Games1
Comprehensive Evaluation Method of Supply Chain Logistics System Quality Based on 3D Image Processing Technology1
A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function1
Darboux Transformations and Soliton-Like Solutions of a New System Associated with the Negative AKNS System1
Travelling Wave Solutions of a Time Regularised Long Wave Equation Associated With the Korteweg‐de Viries Equation in Fluid Dynamics1
A Well-Behaved Anisotropic Strange Star Model1
Extended Conformable K-Hypergeometric Function and Its Application1
Mathematical Modeling Methods and Their Application in the Analysis of Complex Signal Systems1
The Existence of Weak Solutions for Bidirectional Fluid–Structure Coupling Problem in 2D Arterial Blood Flow1
The K Extended Laguerre Polynomials Involving 1
Initial Value Problems with Generalized Fractional Derivatives and Their Solutions via Generalized Laplace Decomposition Method1
Time-Dependent Magnetohydrodynamic (MHD) Flow of an Exothermic Arrhenius Fluid in a Vertical Channel with Convective Boundary Condition1
Asymmetric Bidirectional Controlled Quantum Teleportation of Three- and Four-Qubit States1
A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution1
Research on the Measurement of Logistics Capability of Core Cities along “the Belt and Road” in China1
Fast Assessment Method for Transient Voltage Stability of Photovoltaic Receiving‐End Grid1
Analysis of the Relationship of Video Text and Urban Image Communication Based on the Calculation Method of Wedge Diffraction in Geometrical Optics1
Some Geometric Characterizations of f -Curves Associated with a Plane Curve v1
Derivation of the Lorentz Transformations for Three‐Dimensional Relative Motion Between Inertial Frames of Reference1
On a Multistable Type of Free Boundary Problem with a Flux at the Boundary1
Stability of Set Differential Equations in Fréchet Spaces1
Regarding on the Results for the Fractional Clannish Random Walker’s Parabolic Equation and the Nonlinear Fractional Cahn-Allen Equation1
A Composite Wavelet–Rational Approach for Solving the Volterra’s Population Growth Model Over Semi‐Infinite Domain1
Turbulence Characteristics of Cavitating Flows Downstream of Triangular Multiorifice Plates1
Global Existence and Blow-Up for a Weakly Dissipative Modified Two-Component Camassa-Holm System1
Noninteger Derivative Order Analysis on Plane Wave Reflection from Electro-Magneto-Thermo-Microstretch Medium with a Gravity Field within the Three-Phase Lag Model1
The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure1
Ion Acoustic Solitary Wave Solutions to mKdV-ZK Model in Homogeneous Magnetized Plasma1
HRM: An Intelligent Helmet Recognition Model in Complex Scenes1
Analysis of the Dynamics of a Cubic Nonlinear Five-Dimensional Memristive Chaotic System and the Study of Reduced-Dimensional Synchronous Masking1
Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution1
Single-Soliton Solution of KdV Equation via Hirota’s Direct Method under the Time Scale Framework1
Inertial Forces and Torques Acting on a Spinning Annulus1
Shape Invariance of Solvable Schrödinger Equations with the Generalized Hyperbolic Pöschl-Teller Potential1
MHD Free Convective Transport Through an Inclined Porous Sheet With Thermal Radiation Effect: An Unsteady Analysis1
A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional‐Order Delay Parabolic Equation1
Quasilinear Hyperbolic Systems Applied to Describe the Magnetohydrodynamic Nanofluid Flow1
Classification of All Single Traveling Wave Solutions of ( 3 + 1
A B 1
0.084121942520142