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 2021-10-01 to 2025-10-01.)

Article	Citations
Different Dimension Synchronization of Bidirectionally Coupled Chaotic Systems With Unknown Time‐Varying Parameter Interference	25
Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials	20
Financial Futures Prediction Using Fuzzy Rough Set and Synthetic Minority Oversampling Technique	15
Retracted: A Cloud Computing-Based Intelligent Forecasting Method for Cross-Border E-Commerce Logistics Costs	14
Mathematical Modeling and Simulation of Table Tennis Trajectory Based on Digital Video Image Processing	14
Transient Response of Multiple Interface Cracks in Fine-Grained Coating Composite Structures under Impact Loading	13
Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink	12
Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method	12
A Discriminative Target Equation-Based Face Recognition Method for Teaching Attendance	11
Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group	11
Extraction of Human Motion Information from Digital Video Based on 3D Poisson Equation	11
New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy	10
A Bayesian-Weighted Inverse Gaussian Regression Model with Application to Seismological Data	10
Some Conditions of Non-Blow-Up of Generalized Inviscid Surface Quasigeostrophic Equation	10
Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg-de Vries Equation	10
Multifeature Contrast Enhancement Algorithm for Digital Media Images Based on the Diffusion Equation	10
Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation	10
A Newmark Integral Method in Nonhomogeneous Materials With Parallel Cracks Based on Hyperbolic Heat Conduction	9
Lyapunov Stability of Planar Waves to the Reaction-Diffusion Equation with a Non-Lipschitzian Reaction Term	9
Evolutoids of the Mixed-Type Curves	9
A Simple and Effective Second‐Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo‐Tempered Fractional Derivative	9
Growth Series of the Braid Monoid M	9
A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations	9
Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations	9
A Study on Vague Graph Structures with an Application	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
Retracted: Use Python Data Analysis to Gain Insights from Airbnb Hosts	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
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
Diverse Soliton Structures of the ( 2 + 1	7
Mathematical Modeling for Ceramic Shape 3D Image Based on Deep Learning Algorithm	7
Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials	7
Geometrical Classification of Self-Similar Motion of Two-Dimensional Three Point Vortex System by Deviation Curvature on Jacobi Field	7
Jewelry Packaging User Demand Analysis Based on Fuzzy Kano Model	7
An Algorithm for Solving Phase‐Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel	7
Formula of Cylindrical Spring Stiffness for Nonlinear Large Deformation and Its FEM Verification	7
A New Fundamental Asymmetric Wave Equation and Its Application to Acoustic Wave Propagation	7
Dynamic Behaviors and Analytical Solutions of the Damped (2+1)‐Dimensional Nonlinear Schrödinger Equation	6
On the Characterization of Antineutrosophic Subgroup	6
The Cross-Postgraduate Training Mode Driven by Intelligent Signal Processing Technology: Taking the Major of Finance as an Example	6
Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions	6
Simulating New CKO as a Model of Seismic Sea Waves via Unified Solver	6
On Effects of a New Method for Fractional Initial Value Problems	6
Hidden Markov Model-Based Video Recognition for Sports	6
Commodity Price Recognition and Simulation of Image Recognition Technology Based on the Nonlinear Dimensionality Reduction Method	6
The Separation Properties of Binary Topological Spaces	6
Single Reflect-Mirror Laser Communication Tracking-Pointing System Load Technology for Micronanosatellite	6
Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation	6
Energy‐Minimization Models for Hybrid Carbon Nanotori Production	6
Some New Inequalities Using Nonintegral Notion of Variables	5
Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions	5
Lattice Boltzmann Method for the Generalized Black-Scholes Equation	5
Crank–Nicolson Method for Singularly Perturbed Unsteady Parabolic Problem With Multiple Boundary Turning Points	5
Effect of Classical and Quantum Superposition of Atomic States on Quantum Correlations	5
High-Order Spectral Method of Density Estimation for Stochastic Differential Equation Driven by Multivariate Gaussian Random Variables	5
Quantization of the Super-BMS3 Algebra	5
Feature Extraction of Music Signal Based on Adaptive Wave Equation Inversion	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
Double Sumudu Transform Iterative Method for One-Dimensional Nonlinear Coupled Sine-Gordon Equation	5
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring	5
Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation	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
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
Using Image Feature Extraction to Identification of Ancient Ceramics Based on Partial Differential Equation	4
Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation	4
A New Type-3 Fuzzy PID for Energy Management in Microgrids	4
Dynamical Analysis of Nonlocalized Wave Solutions of	4
Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation	4

On Compact Trans-Sasakian Manifolds	4
Human Position Detection Based on Depth Camera Image Information in Mechanical Safety	4
Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine	4
A Finite Difference Method for Solving Unsteady Fractional Oldroyd-B Viscoelastic Flow Based on Caputo Derivative	4
Application of Partial Differential Equation Image Classification Methods to the Aesthetic Evaluation of Images	4
A Method of Constructing Superpotentials by Combining Two Functions Based on Shape Invariance	4
Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation	4
Approximate Analytical Study of Time-Dependent MHD Casson Hybrid Nanofluid over a Stretching Sheet and Considering Thermal Radiation	4
Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation	4
Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation	4
Fast Decomposition Algorithm Based on Two-Dimensional Wavelet Transform for Image Processing of Graphic Design	4
A Massive Image Recognition Algorithm Based on Attribute Modelling and Knowledge Acquisition	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
Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface	4
New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation	3
Central Extensions and Nijenhuis Operators of Hom- δ -Jordan Lie Triple System	3
Analysis and Prediction of the Dynamic Antiplane Characteristics of an Elastic Wedge-Shaped Quarter-Space Containing a Circular Hole	3
Pullback Attractors for Nonautonomous Degenerate Kirchhoff Equations with Strong Damping	3
The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness	3
Music Signal Recognition Based on the Mathematical and Physical Equation Inversion Method	3
Correlation Filtering Algorithm of Infrared Spectral Data for Dim Target Tracking	3
Application of Image Segmentation Algorithm Based on Partial Differential Equation in Legal Case Text Classification	3
Analysis of Fractional Differential Equations with the Help of Different Operators	3
Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows	3
Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation	3
Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods	3
Computational Fluid Dynamics for Cavity Natural Heat Convection: Numerical Analysis and Optimization in Greenhouse Application	3
The Darboux Transformation for a New Fractional Schrödinger Equation Hierarchy	3
Constructing Attention‐LSTM‐VAE Power Load Model Based on Multiple Features	3
Exact Solutions of the Nonlinear Space-Time Fractional Partial Differential Symmetric Regularized Long Wave (SRLW) Equation by Employing Two Methods	3
Exploring Solution Strategies for Volterra Integro‐Differential Lane–Emden Equations in Astrophysics Using Haar Scale 3 Wavelets	3
Stability and Finite-Time Synchronization Analysis for Recurrent Neural Networks with Improved Integral-Type Time-Varying Delays	3
Application of Image Recognition Method Based on Diffusion Equation in Film and Television Production	3
Collisional Solitons Described by Two-Sided Beta Time Fractional Korteweg-de Vries Equations in Fluid-Filled Elastic Tubes	3
Predicting Screening Efficiency of Probability Screens Using KPCA‐GRNN with WP‐EE Feature Reconstruction	3
Sharp Threshold of Global Existence and Mass Concentration for the Schrödinger–Hartree Equation with Anisotropic Harmonic Confinement	3
Application of Image Denoising Method Based on Two-Way Coupling Diffusion Equation in Public Security Forensics	3
Algebro-Geometric Solutions of a ( 2 + 1	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
	3
Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions	3
Dynamical Property of the Shift Map under Group Action	3