OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Mathematical Physics is 3. 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 2021-08-01 to 2025-08-01.)

Article	Citations
Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials	28
Transient Response of Multiple Interface Cracks in Fine-Grained Coating Composite Structures under Impact Loading	25
Financial Futures Prediction Using Fuzzy Rough Set and Synthetic Minority Oversampling Technique	20
Retracted: A Cloud Computing-Based Intelligent Forecasting Method for Cross-Border E-Commerce Logistics Costs	15
Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method	14
A Discriminative Target Equation-Based Face Recognition Method for Teaching Attendance	13
Extraction of Human Motion Information from Digital Video Based on 3D Poisson Equation	13
Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg-de Vries Equation	12
Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group	12
Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink	10
Different Dimension Synchronization of Bidirectionally Coupled Chaotic Systems With Unknown Time‐Varying Parameter Interference	10
A Bayesian-Weighted Inverse Gaussian Regression Model with Application to Seismological Data	10
Lyapunov Stability of Planar Waves to the Reaction-Diffusion Equation with a Non-Lipschitzian Reaction Term	10
Adaptive Recognition of Motion Posture in Sports Video Based on Evolution Equation	10
Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation	10
Mathematical Modeling and Simulation of Table Tennis Trajectory Based on Digital Video Image Processing	10
New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy	9
Multifeature Contrast Enhancement Algorithm for Digital Media Images Based on the Diffusion Equation	9
A Newmark Integral Method in Nonhomogeneous Materials With Parallel Cracks Based on Hyperbolic Heat Conduction	9
Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations	9
Evolutoids of the Mixed-Type Curves	9
A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations	9
Some Conditions of Non-Blow-Up of Generalized Inviscid Surface Quasigeostrophic Equation	9
Growth Series of the Braid Monoid M	9
Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric	9

Retracted: Use Python Data Analysis to Gain Insights from Airbnb Hosts	8
Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials	8
A Study on Vague Graph Structures with an Application	8
A Simple and Effective Second‐Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo‐Tempered Fractional Derivative	8
Application of Virtual Reality Technology and Unsupervised Video Object Segmentation Algorithm in 3D Model Modeling	8
Optimal L <	8
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 Method	8
Image Segmentation Techniques for Intelligent Monitoring of Putonghua Examinations	8
Monotone Iterative Technique for a Kind of Nonlinear Fourth-Order Integro-Differential Equations and Its Application	8
A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application	8
A Study on the Statistical Properties of the Prime Numbers Using the Classical and Superstatistical Random Matrix Theories	7
Geometrical Classification of Self-Similar Motion of Two-Dimensional Three Point Vortex System by Deviation Curvature on Jacobi Field	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
Formula of Cylindrical Spring Stiffness for Nonlinear Large Deformation and Its FEM Verification	7
Mathematical Modeling for Ceramic Shape 3D Image Based on Deep Learning Algorithm	7
Fractional-Order Adaptive P -Laplace Equation-Based Art Image Edge Detection	7
Human Movement Recognition in Dancesport Video Images Based on Chaotic System Equations	7
Diverse Soliton Structures of the ( 2 + 1	7
Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation	6
The Separation Properties of Binary Topological Spaces	6
Single Reflect-Mirror Laser Communication Tracking-Pointing System Load Technology for Micronanosatellite	6
Double Sumudu Transform Iterative Method for One-Dimensional Nonlinear Coupled Sine-Gordon Equation	6
Simulating New CKO as a Model of Seismic Sea Waves via Unified Solver	6
Jewelry Packaging User Demand Analysis Based on Fuzzy Kano Model	6
Energy‐Minimization Models for Hybrid Carbon Nanotori Production	6
On Effects of a New Method for Fractional Initial Value Problems	6
Partial Differential Equations-Based Iterative Denoising Algorithm for Movie Images	6
A New Fundamental Asymmetric Wave Equation and Its Application to Acoustic Wave Propagation	6
The Cross-Postgraduate Training Mode Driven by Intelligent Signal Processing Technology: Taking the Major of Finance as an Example	6
On the Characterization of Antineutrosophic Subgroup	6
High-Order Spectral Method of Density Estimation for Stochastic Differential Equation Driven by Multivariate Gaussian Random Variables	5
Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions	5
Quantization of the Super-BMS3 Algebra	5
Crank–Nicolson Method for Singularly Perturbed Unsteady Parabolic Problem With Multiple Boundary Turning Points	5
An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins	5
Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method	5
Commodity Price Recognition and Simulation of Image Recognition Technology Based on the Nonlinear Dimensionality Reduction Method	5
Feature Extraction of Music Signal Based on Adaptive Wave Equation Inversion	5
Dynamic Behaviors and Analytical Solutions of the Damped (2+1)‐Dimensional Nonlinear Schrödinger Equation	5
Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation	5
Effect of Classical and Quantum Superposition of Atomic States on Quantum Correlations	5
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring	5
Hidden Markov Model-Based Video Recognition for Sports	5
Some New Inequalities Using Nonintegral Notion of Variables	5
Lattice Boltzmann Method for the Generalized Black-Scholes Equation	5
Research on Customer Requirement-Driven Individualized Product Module Division and Configuration Based on Community Structure	5
Command Filter AILC for Finite Time Accurate Tracking of Aircraft Track Angle System Based on Fuzzy Logic	5
Application of Partial Differential Equation Image Classification Methods to the Aesthetic Evaluation of Images	4
Numerical Investigation of Ternary Hybrid Non‐Newtonian Nanofluids and Heat Transport Over an Inclined Shrinking Sheet Utilizing Artificial Neural Network	4
Retracted: The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness	4

Approximate Analytical Study of Time-Dependent MHD Casson Hybrid Nanofluid over a Stretching Sheet and Considering Thermal Radiation	4
Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation	4
Dynamical Analysis of Nonlocalized Wave Solutions of	4
Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation	4
Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation	4
Using Image Feature Extraction to Identification of Ancient Ceramics Based on Partial Differential Equation	4
A Finite Difference Method for Solving Unsteady Fractional Oldroyd-B Viscoelastic Flow Based on Caputo Derivative	4
Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium‐Doped Fiber	4
Retracted: Study on Announcement Effect of Stock Repurchase from the Perspective of Configuration Analysis	4
Triple Diffusive Convection in a Fluid Layer Under an A.C Electric Field	4
Human Position Detection Based on Depth Camera Image Information in Mechanical Safety	4
Variationally Improved Bézier Surfaces with Shifted Knots	4
Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation	4
A Method of Constructing Superpotentials by Combining Two Functions Based on Shape Invariance	4
Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine	4
A Massive Image Recognition Algorithm Based on Attribute Modelling and Knowledge Acquisition	4
A New Type-3 Fuzzy PID for Energy Management in Microgrids	4
New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation	4
Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface	4
Fast Decomposition Algorithm Based on Two-Dimensional Wavelet Transform for Image Processing of Graphic Design	4
On Compact Trans-Sasakian Manifolds	4
Collisional Solitons Described by Two-Sided Beta Time Fractional Korteweg-de Vries Equations in Fluid-Filled Elastic Tubes	4
Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation	4
Music Signal Recognition Based on the Mathematical and Physical Equation Inversion Method	3
Algebro-Geometric Solutions of a ( 2 + 1	3
Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6	3
Constructing Attention‐LSTM‐VAE Power Load Model Based on Multiple Features	3
Application of Image Recognition Method Based on Diffusion Equation in Film and Television Production	3
Exact Solutions of the Nonlinear Space-Time Fractional Partial Differential Symmetric Regularized Long Wave (SRLW) Equation by Employing Two Methods	3
Computational Fluid Dynamics for Cavity Natural Heat Convection: Numerical Analysis and Optimization in Greenhouse Application	3
Some New Aspects of Metric Fixed Point Theory	3
Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows	3
Stability and Finite-Time Synchronization Analysis for Recurrent Neural Networks with Improved Integral-Type Time-Varying Delays	3
Dynamical Property of the Shift Map under Group Action	3
Correlation Filtering Algorithm of Infrared Spectral Data for Dim Target Tracking	3
Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense	3
Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group	3
Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms	3
Exploring Solution Strategies for Volterra Integro‐Differential Lane–Emden Equations in Astrophysics Using Haar Scale 3 Wavelets	3
Predicting Screening Efficiency of Probability Screens Using KPCA‐GRNN with WP‐EE Feature Reconstruction	3
Application of Image Segmentation Algorithm Based on Partial Differential Equation in Legal Case Text Classification	3
Application of Image Denoising Method Based on Two-Way Coupling Diffusion Equation in Public Security Forensics	3
Central Extensions and Nijenhuis Operators of Hom- δ -Jordan Lie Triple System	3
Sharp Threshold of Global Existence and Mass Concentration for the Schrödinger–Hartree Equation with Anisotropic Harmonic Confinement	3
Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods	3
Anti-Interference Heartbeat Measurement Based on a Miniaturized Doppler Radar Sensor	3
Analysis and Prediction of the Dynamic Antiplane Characteristics of an Elastic Wedge-Shaped Quarter-Space Containing a Circular Hole	3
Analytic Simulation for Magnetohydrodynamic Unsteady Buongiorno Model Hybrid Nanofluid Flow over Stretching	3
Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators	3
FSE‐RBFNN‐Based AILC of Finite Time Complete Tracking for a Class of Time‐Varying NPNL Systems with Initial State Errors	3
Radar Target Detection with K‐Nearest Neighbor Manifold Filter on Riemannian Manifold	3
Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions	3
The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness	3
Analysis of Fractional Differential Equations with the Help of Different Operators	3
New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation	3
Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation	3
	3
Pullback Attractors for Nonautonomous Degenerate Kirchhoff Equations with Strong Damping	3