OOIR: Observatory of International Research

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 2022-08-01 to 2026-08-01.)

Article	Citations
Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials	22
Transient Response of Multiple Interface Cracks in Fine-Grained Coating Composite Structures under Impact Loading	17
A Bayesian-Weighted Inverse Gaussian Regression Model with Application to Seismological Data	14
Retracted: A Cloud Computing-Based Intelligent Forecasting Method for Cross-Border E-Commerce Logistics Costs	14
Financial Futures Prediction Using Fuzzy Rough Set and Synthetic Minority Oversampling Technique	14
Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink	13
Different Dimension Synchronization of Bidirectionally Coupled Chaotic Systems With Unknown Time‐Varying Parameter Interference	13
A Newmark Integral Method in Nonhomogeneous Materials With Parallel Cracks Based on Hyperbolic Heat Conduction	12
Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method	12
New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy	12
Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation	12
Some Conditions of Non-Blow-Up of Generalized Inviscid Surface Quasigeostrophic Equation	12
A Simple and Effective Second‐Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo‐Tempered Fractional Derivative	11
A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations	10
Monotone Iterative Technique for a Kind of Nonlinear Fourth-Order Integro-Differential Equations and Its Application	10
Extending General Covariance: A Unified Framework for Electromagnetic Interactions and Geometric Unification	10
Application of Virtual Reality Technology and Unsupervised Video Object Segmentation Algorithm in 3D Model Modeling	10
Retracted: Use Python Data Analysis to Gain Insights from Airbnb Hosts	9
Formula of Cylindrical Spring Stiffness for Nonlinear Large Deformation and Its FEM Verification	8
Diverse Soliton Structures of the ( 2 + 1	8
Torsional Vibration of a Nanobeam Under Magnetic Load and Surrounded With Torsional Spring, Based on the Modified Couple Stress Theory Using Power Series Method	7
An Algorithm for Solving Phase‐Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel	7
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 Heati	7
High-Order Spectral Method of Density Estimation for Stochastic Differential Equation Driven by Multivariate Gaussian Random Variables	6
Simulating New CKO as a Model of Seismic Sea Waves via Unified Solver	6

The Separation Properties of Binary Topological Spaces	6
Jewelry Packaging User Demand Analysis Based on Fuzzy Kano Model	6
Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation	6
The Cross-Postgraduate Training Mode Driven by Intelligent Signal Processing Technology: Taking the Major of Finance as an Example	5
Energy‐Minimization Models for Hybrid Carbon Nanotori Production	5
Lattice Boltzmann Method for the Generalized Black-Scholes Equation	5
On the Characterization of Antineutrosophic Subgroup	5
Multiphysics Finite Element Analysis of Diffusive–Bioconvective MHD Hybrid Nanofluid Flow Over an Exponentially Stretching Sheet	5
Dynamical Behavior and Chaotic Nature of M‐Fractional Paraxial Wave Equation With Three Analytical Methods	5
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring	5
A New Fundamental Asymmetric Wave Equation and Its Application to Acoustic Wave Propagation	5
Dynamic Behaviors and Analytical Solutions of the Damped (2+1)‐Dimensional Nonlinear Schrödinger Equation	5
Mass Transport Analysis in an Annular Microchannel Driven by a Time‐Periodic Oscillatory Electroosmotic Flow for a Maxwell Fluid Under High Zeta Potential	5
Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions	5
Thermal Radiative Flow and Entropy Generation in MHD Williamson Hybrid Nanofluid (Cu+Ag)/H ₂ O Over a Porous Stretching Sheet With Non‐Fourier Heat F	4
Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface	4
Effect of Classical and Quantum Superposition of Atomic States on Quantum Correlations	4
Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method	4
Optical Soliton Solutions and Modulation Instability of the Higher‐Order Complex Cubic‐Quintic Ginzburg–Landau Equation	4
Dynamical Analysis of Nonlocalized Wave Solutions of	4
Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions	4
Crank–Nicolson Method for Singularly Perturbed Unsteady Parabolic Problem With Multiple Boundary Turning Points	4
Research on Customer Requirement-Driven Individualized Product Module Division and Configuration Based on Community Structure	4
Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation	3
Triple Diffusive Convection in a Fluid Layer Under an A.C Electric Field	3
Command Filter AILC for Finite Time Accurate Tracking of Aircraft Track Angle System Based on Fuzzy Logic	3
2‐Local Derivations on the Twisted Heisenberg–Virasoro Algebra	3
Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation	3
Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation	3
Numerical Investigation of Fractional Third‐Order Differential Equation Using Quartic B‐Spline Functions	3
Exploring Microbial Dynamics and Heat Transmission in a Nonlinear Radiative Maxwell Nanomaterial With Sensitivity Analysis	3
Predicting Screening Efficiency of Probability Screens Using KPCA‐GRNN with WP‐EE Feature Reconstruction	3
Numerical Investigation of Ternary Hybrid Non‐Newtonian Nanofluids and Heat Transport Over an Inclined Shrinking Sheet Utilizing Artificial Neural Network	3
Stability and Finite-Time Synchronization Analysis for Recurrent Neural Networks with Improved Integral-Type Time-Varying Delays	3
A Method of Constructing Superpotentials by Combining Two Functions Based on Shape Invariance	3
Diverse Soliton Structures of Induced Curves in the Integrable Coupled Kuralay Equation	3
Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine	3
Retracted: The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness	3
Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium‐Doped Fiber	3
Position Vectors of the Natural Mate and Conjugate of a Space Curve	2
Correlation Filtering Algorithm of Infrared Spectral Data for Dim Target Tracking	2
A Physics‐Informed Neural Networks for Solving 2D Frequency‐Domain Electromagnetic Waves in the Differential Form of Maxwell’s Equations	2
Predicting Tuberculosis Trends in India: A Comparative Study of Time Series Models	2
The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation	2
Collisional Solitons Described by Two-Sided Beta Time Fractional Korteweg-de Vries Equations in Fluid-Filled Elastic Tubes	2
A Solution of the Complex Fuzzy Heat Equation in Terms of Complex Dirichlet Conditions Using a Modified Crank–Nicolson Method	2
Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods	2
A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T	2
Algebro-Geometric Solutions of a ( 2 + 1	2
A Finite Difference Method for Solving Unsteady Fractional Oldroyd-B Viscoelastic Flow Based on Caputo Derivative	2

Exploring Solution Strategies for Volterra Integro‐Differential Lane–Emden Equations in Astrophysics Using Haar Scale 3 Wavelets	2
Radar Target Detection with K‐Nearest Neighbor Manifold Filter on Riemannian Manifold	2
Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids	2
	2
Exact Solution of ( 4 + 1	2
Sharp Threshold of Global Existence and Mass Concentration for the Schrödinger–Hartree Equation with Anisotropic Harmonic Confinement	2
Stationary‐Angle Conditions and Bertrand Offsets in Timelike‐Ruled Surfaces	2
An Approximation Method for Variational Inequality with Uncertain Variables	2
Dynamical Property of the Shift Map under Group Action	2
Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense	2
Construction and Application of Video Big Data Analysis Platform for Smart City Development	2
Dynamics Analyses and Parameter Estimation of an Improved Fractional‐Order SEAIRQ COVID‐19 Dynamic Model Based on Two Types of Fractional Derivative Operators	2
FSE‐RBFNN‐Based AILC of Finite Time Complete Tracking for a Class of Time‐Varying NPNL Systems with Initial State Errors	2
Some New Characterizations of Real Hypersurfaces with Isometric Reeb Flow in Complex Two-Plane Grassmannians	2
Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions	2
Abundant Exact Soliton Solutions of the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Cha	2
Analysis and Prediction of the Dynamic Antiplane Characteristics of an Elastic Wedge-Shaped Quarter-Space Containing a Circular Hole	2
Constructing Attention‐LSTM‐VAE Power Load Model Based on Multiple Features	2
Analysis of Fractional Differential Equations with the Help of Different Operators	2
Wave Propagation in Fractional Space: A Riesz Derivative Approach	2
Solutions of Nonlinear Integro-Partial Differential Equations by the Method of	2
Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows	2
The Darboux Transformation for a New Fractional Schrödinger Equation Hierarchy	2
Retracted: Study on Announcement Effect of Stock Repurchase from the Perspective of Configuration Analysis	2
Computational Fluid Dynamics for Cavity Natural Heat Convection: Numerical Analysis and Optimization in Greenhouse Application	2
Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative	1
Evaluation and Analysis of Land Input-Output Comprehensive Benefit Based on Fuzzy Mathematics and Analytic Hierarchy Process	1
Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words	1
Intelligent Image Analysis and Recognition Method for Art Design Majors	1
Analysis of the Relationship of Video Text and Urban Image Communication Based on the Calculation Method of Wedge Diffraction in Geometrical Optics	1
Inertial Forces and Torques Acting on a Spinning Annulus	1
Analysis of Fractional Thin Film Flow of Third Grade Fluid in Lifting and Drainage via Homotopy Perturbation Procedure	1
Solving the Nonlinear Charged Particle Oscillation Equation Using the Laplace–Adomian Decomposition Method	1
Output Regulation of Switched Stochastic Systems with Sampled-Data Control	1
A New Translation Operator by Covariant Derivative in the Generalized Space	1
Analysis of the Dynamics of a Cubic Nonlinear Five-Dimensional Memristive Chaotic System and the Study of Reduced-Dimensional Synchronous Masking	1
Quasilinear Hyperbolic Systems Applied to Describe the Magnetohydrodynamic Nanofluid Flow	1
Free Convection Heat Transfer in Composite Enclosures with Porous and Nanofluid Layers	1
Ion Acoustic Solitary Wave Solutions to mKdV-ZK Model in Homogeneous Magnetized Plasma	1
Optical Solitons and Single Traveling Wave Solutions for the Fiber Bragg Gratings with Generalized Anticubic Nonlinearity	1
A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional‐Order Delay Parabolic Equation	1
On a Multistable Type of Free Boundary Problem with a Flux at the Boundary	1
Exploring Nonlinear Dynamics and Solitary Waves in the Fractional Klein–Gordon Model	1
General Relativity Sans Differential Geometry: Representing Tensor Elements by Exponential Terms	1
The Existence of Weak Solutions for Bidirectional Fluid–Structure Coupling Problem in 2D Arterial Blood Flow	1
Extended Conformable K-Hypergeometric Function and Its Application	1
Research on the Measurement of Logistics Capability of Core Cities along “the Belt and Road” in China	1
Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential	1
Matrix Representation of Planar Lorentz Transformations in Extended (2 + 2)‐Dimensional Spacetime	1
Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity	1
Asymmetric Bidirectional Controlled Quantum Teleportation of Three- and Four-Qubit States	1
Derivation of the Lorentz Transformations for Three‐Dimensional Relative Motion Between Inertial Frames of Reference	1
Single-Soliton Solution of KdV Equation via Hirota’s Direct Method under the Time Scale Framework	1
An Application of thet-Extension of thep	1
The Study of Cross-Border Trade with Third-Party Payment Institutions in China	1
Modified Homotopy Perturbation Method and Approximate Solutions to a Class of Local Fractional Integrodifferential Equations	1
Interaction Solutions of the (2+1)-Dimensional Sawada-Kotera Equation	1
Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay Couplings	1
Recent Developments and the Causes of Globalization for the Chinese Yuan Based on Statistical Analysis	1
A B	1
Aspects of Non-unique Solutions for Hiemenz Flow Filled with Ternary Hybrid Nanofluid over a Stretching/Shrinking Sheet	1
Convolution Representation of Traveling Pulses in Reaction-Diffusion Systems	1
Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation	1
Travelling Wave Solutions of a Time Regularised Long Wave Equation Associated With the Korteweg‐de Viries Equation in Fluid Dynamics	1
Analytical Treatments for a Coupled (2+1)‐Dimensional Partial Differential Equations in Nonlinear Physics	1
An Improved Boundary Element Method for Predicting Half-Space Scattered Noise Combined with Permeable Boundaries	1
Regularization by Global DGMRES Method for Ill‐Posed Matrix Equation A X B =	1
Computational Role of Autocatalytic Chemical Reaction in the Dynamics of a Ternary Hybrid Nanofluid Past a Rotating Stretching Surface	1
Comprehensive Evaluation Method of Supply Chain Logistics System Quality Based on 3D Image Processing Technology	1
Exact Solutions and Dynamic Properties of the Perturbed Nonlinear Schrödinger Equation with Conformable Fractional Derivatives Arising in Nanooptical Fibers	1
Stability of Set Differential Equations in Fréchet Spaces	1
Combining Symmetries and Helmholtz’s Conditions to Construct Lagrangians	1
Retracted: ECG Signal Detection and Classification of Heart Rhythm Diseases Based on ResNet and LSTM	1
Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation	1
Fast Assessment Method for Transient Voltage Stability of Photovoltaic Receiving‐End Grid	1
A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function	1
Existence and Nonexistence of Traveling Wave Solutions for a Reaction–Diffusion Preys–Predator System with Switching Effect	1