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 2021-04-01 to 2025-04-01.)
ArticleCitations
On a Multistable Type of Free Boundary Problem with a Flux at the Boundary38
Variationally Improved Bézier Surfaces with Shifted Knots27
Sequential Extended S -Metric Spaces and Relevant Fixed Point Results with Application 20
Construction and Application of Video Big Data Analysis Platform for Smart City Development19
New Optical Soliton Solutions to the Fractional Hyperbolic Nonlinear Schrödinger Equation19
A Three-Dimensional Anisotropic Diffusion Equation-Based Video Recognition Model for Classroom Concentration Evaluation in English Language Teaching17
Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal Loading16
The Study of Cross-Border Trade with Third-Party Payment Institutions in China16
On Fractional Diffusion Equation with Caputo-Fabrizio Derivative and Memory Term13
A B 13
Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg-de Vries Equation12
Corrected Inertial Torques of Gyroscopic Effects12
Embedded Image and Video Coding Algorithm Based on Adaptive Filtering Equation12
Extraction of Human Motion Information from Digital Video Based on 3D Poisson Equation11
Retracted: A Cloud Computing-Based Intelligent Forecasting Method for Cross-Border E-Commerce Logistics Costs11
The Mathematical Model for the Tippe Top Inversion11
Retracted: ECG Signal Detection and Classification of Heart Rhythm Diseases Based on ResNet and LSTM11
Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation10
The Exact Solutions of the Conformable Time-Fractional Modified Nonlinear Schrödinger Equation by the Trial Equation Method and Modified Trial Equation Method10
Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation10
A Discriminative Target Equation-Based Face Recognition Method for Teaching Attendance10
A Bayesian-Weighted Inverse Gaussian Regression Model with Application to Seismological Data9
A Solution of the Complex Fuzzy Heat Equation in Terms of Complex Dirichlet Conditions Using a Modified Crank–Nicolson Method9
Regarding on the Results for the Fractional Clannish Random Walker’s Parabolic Equation and the Nonlinear Fractional Cahn-Allen Equation9
Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group9
A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function8
Adaptive Fuzzy Control of Sludge Conditioning and Pressing8
Life Prediction Method of Remanufactured Machinery Equipment Based on Vibration Signal Feature Extraction8
Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method8
Exact Solutions of the Generalized ZK and Gardner Equations by Extended GeneralizedG8
Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface8
Dynamic Analysis and Optimal Control of Rumor Propagation Model with Reporting Effect7
The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation7
A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T 7
Human Position Detection Based on Depth Camera Image Information in Mechanical Safety7
An Improved Version of Residual Power Series Method for Space-Time Fractional Problems7
Triple Diffusive Convection in a Fluid Layer Under an A.C Electric Field7
Financial Futures Prediction Using Fuzzy Rough Set and Synthetic Minority Oversampling Technique7
Zero and Nonzero Mass Flux Effects of Bioconvective Viscoelastic Nanofluid over a 3D Riga Surface with the Swimming of Gyrotactic Microorganisms7
Identification of Psychological Crisis Signals of College Students Based on the Dufferin Equation7
GIS-Based Remote Sensing Image Information Analysis of the South Atlantic Ecological Environment and Diversity of Deep-Sea Microorganism with Antifungal Effects7
Some New Characterizations of Real Hypersurfaces with Isometric Reeb Flow in Complex Two-Plane Grassmannians7
The Galerkin Method for Fourth-Order Equation of the Moore–Gibson–Thompson Type with Integral Condition6
A Stochastic Holling-Type II Predator-Prey Model with Stage Structure and Refuge for Prey6
On Bernstein’s Problem of Complete Parabolic Hypersurfaces in Warped Products6
Transient Response of Multiple Interface Cracks in Fine-Grained Coating Composite Structures under Impact Loading6
Effect of Classical and Quantum Superposition of Atomic States on Quantum Correlations6
Paracontact Metric κ6
Inequalities for the Class of Warped Product Submanifold of Para-Cosymplectic Manifolds6
Double-Periodic Soliton Solutions of the (2+1)-Dimensional Ito Equation6
An Approximation Method for Variational Inequality with Uncertain Variables6
The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation6
Time-Scale Version of Generalized Birkhoffian Mechanics and Its Symmetries and Conserved Quantities of Noether Type6
Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials6
Command Filter AILC for Finite Time Accurate Tracking of Aircraft Track Angle System Based on Fuzzy Logic6
New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation5
Conformally Flat Pseudoprojective Symmetric Spacetimes infR,5
Rigidity of Complete Gradient Shrinkers with Pointwise Pinching Riemannian Curvature5
Construction of 2-Peakon Solutions and Nonuniqueness for a Generalized mCH Equation5
Further Results about Seeking for the Exact Solutions of the Nonlinear 5
Adaptive Recognition of Motion Posture in Sports Video Based on Evolution Equation5
-Ricci Tensor onα-Cosymplectic Ma5
On Compact Trans-Sasakian Manifolds5
Mathematical Modeling and Simulation of Table Tennis Trajectory Based on Digital Video Image Processing5
Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation5
A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications5
Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation5
Dynamic Analysis of a VSEIR Model with Vaccination Efficacy and Immune Decline4
A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor4
Evolutoids of the Mixed-Type Curves4
Quadruple Best Proximity Points with Applications to Functional and Integral Equations4
Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching4
Approximate Analytical Study of Time-Dependent MHD Casson Hybrid Nanofluid over a Stretching Sheet and Considering Thermal Radiation4
Numerical Method to Modify the Fractional-Order Diffusion Equation4
A New Methodology for Solving Piecewise Quadratic Fuzzy Cooperative Continuous Static Games4
Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress4
Stability of Set Differential Equations in Fréchet Spaces4
Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions4
The Integrability of a New Fractional Soliton Hierarchy and Its Application4
Classification of All Single Traveling Wave Solutions of Fractional Coupled Boussinesq Equations via the Complete Discrimination System Method4
Reliability Estimation of Inverse Lomax Distribution Using Extreme Ranked Set Sampling4
The Degree-Based Topological Indices for Two Special Families of Graphs of Diameter Three4
Image Texture Analysis and Edge Detection Algorithm Based on Anisotropic Diffusion Equation4
A Parametric Analysis of the Effect of Hybrid Nanoparticles on the Flow Field and Homogeneous-Heterogeneous Reaction between Squeezing Plates4
Analytical Solution of Two-Dimensional Sine-Gordon Equation4
Existence of Global Solution and Traveling Wave of the Modified Short-Wave Equation4
Global Well-Posedness and Analyticity for the Three-Dimensional Incompressible Nematic Liquid Crystal Flows in Scaling Invariant Spaces4
Exact Solution of ( 4 + 1 4
Existence for Time-Fractional Semilinear Diffusion Equation on the Sphere4
Lyapunov Stability of Planar Waves to the Reaction-Diffusion Equation with a Non-Lipschitzian Reaction Term4
Full Finite Element Scheme for Reaction-Diffusion Systems on Embedded Curved Surfaces in <4
The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method4
An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins4
Dynamical Analysis of Nonlocalized Wave Solutions of 4
Rational Wave Solutions and Dynamics Properties of the Generalized ( 2 +4
Interval Oscillation Theorems for the Weighted p -Sub-Laplacian Equation in t4
Research on Customer Requirement-Driven Individualized Product Module Division and Configuration Based on Community Structure4
Image Retrieval Model Analysis of Digital Library Based on Texture Characteristics4
A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution4
Solutions of Nonlinear Integro-Partial Differential Equations by the Method of 4
Real-Time Analysis of Athletes’ Physical Condition in Training Based on Video Monitoring Technology of Optical Flow Equation3
On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces3
Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation3
Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation3
Numerical Investigation of Ternary Hybrid Non‐Newtonian Nanofluids and Heat Transport Over an Inclined Shrinking Sheet Utilizing Artificial Neural Network3
Solving the Nonlinear Charged Particle Oscillation Equation Using the Laplace–Adomian Decomposition Method3
Multifeature Contrast Enhancement Algorithm for Digital Media Images Based on the Diffusion Equation3
Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation3
Dynamic Characteristics of Four Systems of Difference Equations with Higher Order3
High-Capacity Real-Time Face Retrieval Recognition Algorithm Based on Task Scheduling Model for the Treatment Area of Hospital3
Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations3
Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric3
Aspects of Non-unique Solutions for Hiemenz Flow Filled with Ternary Hybrid Nanofluid over a Stretching/Shrinking Sheet3
New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy3
Abundant Exact Soliton Solutions of the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Cha3
Application of Müntz Orthogonal Functions on the Solution of the Fractional Bagley–Torvik Equation Using Collocation Method with Error Stimate3
Growth Series of the Braid Monoid M 3
Fast Decomposition Algorithm Based on Two-Dimensional Wavelet Transform for Image Processing of Graphic Design3
Application of Image Recognition Algorithm Based on Partial Differential Equation and Wavelet Transform in the Intelligent Linkage System of Government Urban Public Management3
Pulse Dynamics in a Bistable Reaction-Diffusion System with Chemotaxis3
A New Construction of Holditch Theorem for Homothetic Motions in 3
Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions3
Inertial Forces and Torques Acting on a Spinning Annulus3
Two Numerical Methods for Solving the Schrödinger Parabolic and Pseudoparabolic Partial Differential Equations3
Modified Homotopy Perturbation Method and Approximate Solutions to a Class of Local Fractional Integrodifferential Equations3
A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations3
Semisupervised Association Learning Based on Partial Differential Equations for Sparse Representation of Image Class Attributes3
Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids3
Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation3
Advances in Information Entropy3
Convolution Representation of Traveling Pulses in Reaction-Diffusion Systems3
Asymmetric Bidirectional Controlled Quantum Teleportation of Three- and Four-Qubit States3
Some Conditions of Non-Blow-Up of Generalized Inviscid Surface Quasigeostrophic Equation3
M -Breather, Lumps, and Soliton Molecules for the 2
Evaluation and Analysis of Land Input-Output Comprehensive Benefit Based on Fuzzy Mathematics and Analytic Hierarchy Process2
Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation2
An Accurate Estimation of the Eigenfrequency of an Offshore Wind Turbine Considered as the Stepped Euler-Bernoulli Beam in Three-Spring Flexible Foundation Using the Power Series Method2
Trajectories and Singular Points of Two-Dimensional Fractional-Order Autonomous Systems2
Three-Dimensional Diffusion Model in Sports Dance Video Human Skeleton Detection and Extraction2
Statistical Study of the Entanglement for Qubit Interacting with an Electromagnetic Field2
Comprehensive Evaluation Method of Supply Chain Logistics System Quality Based on 3D Image Processing Technology2
New Solitons and Multishock Wave Structures for the Conformable Space Fractional Burger and Time Fractional Sharma-Tasso-Olver Models2
A Method of Constructing Superpotentials by Combining Two Functions Based on Shape Invariance2
The Modulation Instability Analysis and Analytical Solutions of the Nonlinear Gross−Pitaevskii Model with Conformable Operator and Riemann Wave Equations via Recently Developed Scheme2
Image Segmentation Method for an Illumination Highlight Region of Interior Design Effects Based on the Partial Differential Equation2
A Massive Image Recognition Algorithm Based on Attribute Modelling and Knowledge Acquisition2
Regarding New Traveling Wave Solutions for the Mathematical Model Arising in Telecommunications2
Noise Data Removal and Image Restoration Based on Partial Differential Equation in Sports Image Recognition Technology2
Automatic Recognition Method of Letter Images in English Self-Learning Based on Partial Differential Equation Method2
Application of EEG Signal Recognition Method Based on Duffing Equation in Psychological Stress Analysis2
Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words2
A Cloud Computing-Based Intelligent Forecasting Method for Cross-Border E-Commerce Logistics Costs2
Collisional Solitons Described by Two-Sided Beta Time Fractional Korteweg-de Vries Equations in Fluid-Filled Elastic Tubes2
Shape Invariance of Solvable Schrödinger Equations with the Generalized Hyperbolic Pöschl-Teller Potential2
Optimal L <2
Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms2
Research on Fuzzy Decision-Making Method of Task Allocation for Ship Multiagent Collaborative Design2
A Study on the Statistical Properties of the Prime Numbers Using the Classical and Superstatistical Random Matrix Theories2
Automatic Recognition of Financial Instruments Based on Anisotropic Partial Differential Equations2
Unified Approach to Fractional Calculus Images Involving the Pathway Transform of Extendedk-Gamma Function and Applic2
Recognition of High Difference Features in Urban Planning Images Based on Morphological Filtering2
Analysis and Recognition Method of Internet Image Public Opinion Based on Partial Differential Equation2
Quasilinear Hyperbolic Systems Applied to Describe the Magnetohydrodynamic Nanofluid Flow2
Retracted: The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness2
Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms2
Global Existence and Long-Time Behavior of Solutions to the Full Compressible Euler Equations with Damping and Heat Conduction in 2
Single-Soliton Solution of KdV Equation via Hirota’s Direct Method under the Time Scale Framework2
Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine2
Fractional-Order Adaptive P -Laplace Equation-Based Art Image Edge Detection2
Fractional Operators Associated with the ք -Extended Mathieu Series by Using Laplace Tr2
Retracted: Study on Announcement Effect of Stock Repurchase from the Perspective of Configuration Analysis2
A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold2
A New Translation Operator by Covariant Derivative in the Generalized Space2
Theoretical Analysis of Two Collinear Cracks in an Orthotropic Solid under Linear Thermal Flux and Linear Mechanical Load2
Existence Results for ψ -Hilfer Fractional Integro-Differential Hybrid Bounda2
The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation2
Target Mining and Recognition of Product Form Innovation Design Based on Image Word Similarity Model2
Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source2
Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods2
A New Type-3 Fuzzy PID for Energy Management in Microgrids2
A Tripled Fixed Point Theorem in C 2
New Results of Some of the Conformable Models Arising in Dynamical Systems2
Feature Extraction and Recognition of Medical CT Images Based on Mumford-Shah Model2
Research on Spectrum Feature Identification of Indoor Multimodal Communication Signal2
A Numerical Algorithm Applied to Free Convection Flows of the Casson Fluid along with Heat and Mass Transfer Described by the Caputo Derivative2
Enhanced Squeezing and Entanglement in Nondegenerate Three-Level Laser Coupled to Squeezed Vacuum Reservoir2
A Study on Regular Domination in Vague Graphs with Application2
Application of Partial Differential Equation Image Classification Methods to the Aesthetic Evaluation of Images2
Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation2
Remarks on the Systems of Semilinear Fractional Rayleigh-Stokes Equation1
On 1
Image Segmentation Techniques for Intelligent Monitoring of Putonghua Examinations1
A Fixed Point Technique for Set-Valued Contractions with Supportive Applications1
Evaluation Method of Innovative Education Model of E-Commerce Video Live Broadcast Based on Big Data Analysis Technology1
Some New Aspects of Metric Fixed Point Theory1
Image Recognition of Pledges of Capital Stock in Small- and Medium-Sized Enterprises Based on Partial Differential Equations1
Gyroscopic Torques Generated by a Spinning Ring Torus1
Human Movement Recognition in Dancesport Video Images Based on Chaotic System Equations1
A Semianalytical Approach to the Solution of Time-Fractional Navier-Stokes Equation1
Analytical Solutions to Two-Dimensional Nonlinear Telegraph Equations Using the Conformable Triple Laplace Transform Iterative Method1
Lie Symmetry Analysis of C 1
Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation1
Dimension Reduction Big Data Using Recognition of Data Features Based on Copula Function and Principal Component Analysis1
Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation1
A Well-Behaved Anisotropic Strange Star Model1
Numerical Steepest Descent Method for Hankel Type of Hypersingular Oscillatory Integrals in Electromagnetic Scattering Problems1
Predicting Screening Efficiency of Probability Screens Using KPCA‐GRNN with WP‐EE Feature Reconstruction1
New Optical Solitons in Bragg Grating Fibers for the Nonlinear Coupled ( 2 +1
Formula of Cylindrical Spring Stiffness for Nonlinear Large Deformation and Its FEM Verification1
HRM: An Intelligent Helmet Recognition Model in Complex Scenes1
Two New Modifications of the Exp-Function Method for Solving the Fractional-Order Hirota-Satsuma Coupled KdV1
Application of Video Processing Technology Based on Diffusion Equation Model in Basketball Analysis1
Some Formulas for Horn’s Hypergeometric Function 1
Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution1
Mathematical Modeling Methods and Their Application in the Analysis of Complex Signal Systems1
Combined Damped Sinusoidal Oscillation Solutions to the (3 + 1)-D Variable-Coefficient Generalized NLW Equation in Liquid with Gas Bubbles1
Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in 1
Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows1
Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena1
Computational Role of Autocatalytic Chemical Reaction in the Dynamics of a Ternary Hybrid Nanofluid Past a Rotating Stretching Surface1
Analysis of Fractional Thin Film Flow of Third Grade Fluid in Lifting and Drainage via Homotopy Perturbation Procedure1
Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients1
Unsteady Electrohydrodynamic Stagnation Point Flow of Hybrid Nanofluid Past a Convective Heated Stretch/Shrink Sheet1
Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions1
On Regularity Criteria via Pressure for the 3D MHD Equations in a Half Space1
Relativistic Wave Propagation in Anisotropic Two-Component Magnetohydrodynamics Plasmas1
Various Soliton Solutions and Asymptotic State Analysis for the Discrete Modified Korteweg-de Vries Equation1
A Poisson Equation-Based Method for 3D Reconstruction of Animated Images1
Residual Symmetry, Bäcklund Transformation, and Soliton Solutions of the Higher-Order Broer-Kaup System1
Research on Image Recognition of Building Wall Design Defects Based on Partial Differential Equation1
The Analytic Solutions of the Fractional-Order Model for the Spatial Epidemiology of the COVID-19 Infection1
Pure Traveling Wave Solutions for Three Nonlinear Fractional Models1
Analysis of Fractional Differential Equations with the Help of Different Operators1
The K Extended Laguerre Polynomials Involving 1
Iterative Construction of Fixed Points for Operators Endowed with Condition 1
Using Partial Differential Equation Face Recognition Model to Evaluate Students’ Attention in a College Chinese Classroom1
Mathematical Physics Modelling and Prediction of Oil Spill Trajectory for a Catenary Anchor Leg Mooring (CALM) System1
Efficient Numerical Algorithm for the Solution of Nonlinear Two-Dimensional Volterra Integral Equation Arising from Torsion Problem1
Use Python Data Analysis to Gain Insights from Airbnb Hosts1
A Fractional-Order Discrete Lorenz Map1
General Traveling Wave Solutions of Nonlinear Conformable Fractional Sharma-Tasso-Olever Equations and Discussing the Effects of the Fractional Derivatives1
Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms1
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 Heati1
Central Extensions and Nijenhuis Operators of Hom- δ -Jordan Lie Triple System1
Application of Image Recognition Method Based on Diffusion Equation in Film and Television Production1
Multiple Nontrivial Solutions for a Nonlocal Problem with Sublinear Nonlinearity1
Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation1
G -Chain Mixing and 1
An Application of thet-Extension of thep1
Geometrical Classification of Self-Similar Motion of Two-Dimensional Three Point Vortex System by Deviation Curvature on Jacobi Field1
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