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 2022-05-01 to 2026-05-01.)

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	16
Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg-de Vries Equation	14
Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group	14
Retracted: A Cloud Computing-Based Intelligent Forecasting Method for Cross-Border E-Commerce Logistics Costs	14
A Bayesian-Weighted Inverse Gaussian Regression Model with Application to Seismological Data	13
Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink	12
Different Dimension Synchronization of Bidirectionally Coupled Chaotic Systems With Unknown Time‐Varying Parameter Interference	12
Financial Futures Prediction Using Fuzzy Rough Set and Synthetic Minority Oversampling Technique	12
Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method	12
Some Conditions of Non-Blow-Up of Generalized Inviscid Surface Quasigeostrophic Equation	11
Growth Series of the Braid Monoid M	11
A Newmark Integral Method in Nonhomogeneous Materials With Parallel Cracks Based on Hyperbolic Heat Conduction	11
New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy	11
A Simple and Effective Second‐Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo‐Tempered Fractional Derivative	11
Formula of Cylindrical Spring Stiffness for Nonlinear Large Deformation and Its FEM Verification	10
Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation	10
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	9
Retracted: Use Python Data Analysis to Gain Insights from Airbnb Hosts	9
Application of Virtual Reality Technology and Unsupervised Video Object Segmentation Algorithm in 3D Model Modeling	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	8
A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application	8
Extending General Covariance: A Unified Framework for Electromagnetic Interactions and Geometric Unification	8
High-Order Spectral Method of Density Estimation for Stochastic Differential Equation Driven by Multivariate Gaussian Random Variables	7

Diverse Soliton Structures of the ( 2 + 1	7
Simulating New CKO as a Model of Seismic Sea Waves via Unified Solver	7
The Separation Properties of Binary Topological Spaces	7
Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation	7
An Algorithm for Solving Phase‐Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel	7
Multiphysics Finite Element Analysis of Diffusive–Bioconvective MHD Hybrid Nanofluid Flow Over an Exponentially Stretching Sheet	6
Dynamic Behaviors and Analytical Solutions of the Damped (2+1)‐Dimensional Nonlinear Schrödinger Equation	6
Dynamical Behavior and Chaotic Nature of M‐Fractional Paraxial Wave Equation With Three Analytical Methods	6
On the Characterization of Antineutrosophic Subgroup	6
Energy‐Minimization Models for Hybrid Carbon Nanotori Production	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
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
Mass Transport Analysis in an Annular Microchannel Driven by a Time‐Periodic Oscillatory Electroosmotic Flow for a Maxwell Fluid Under High Zeta Potential	5
Lattice Boltzmann Method for the Generalized Black-Scholes Equation	5
Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions	5
Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface	5
Jewelry Packaging User Demand Analysis Based on Fuzzy Kano Model	5
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring	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	5
Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method	5
Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions	5
Quantization of the Super-BMS3 Algebra	5
Approximate Analytical Study of Time-Dependent MHD Casson Hybrid Nanofluid over a Stretching Sheet and Considering Thermal Radiation	4
Exploring Microbial Dynamics and Heat Transmission in a Nonlinear Radiative Maxwell Nanomaterial With Sensitivity Analysis	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	4
Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation	4
Command Filter AILC for Finite Time Accurate Tracking of Aircraft Track Angle System Based on Fuzzy Logic	4
Numerical Investigation of Fractional Third‐Order Differential Equation Using Quartic B‐Spline Functions	4
Retracted: The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness	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
Numerical Investigation of Ternary Hybrid Non‐Newtonian Nanofluids and Heat Transport Over an Inclined Shrinking Sheet Utilizing Artificial Neural Network	4
Dynamical Analysis of Nonlocalized Wave Solutions of	4
Triple Diffusive Convection in a Fluid Layer Under an A.C Electric Field	4
A New Type-3 Fuzzy PID for Energy Management in Microgrids	4
Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation	4
Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium‐Doped Fiber	4
Collisional Solitons Described by Two-Sided Beta Time Fractional Korteweg-de Vries Equations in Fluid-Filled Elastic Tubes	3
Analysis of Fractional Differential Equations with the Help of Different Operators	3
Predicting Tuberculosis Trends in India: A Comparative Study of Time Series Models	3
Dynamical Property of the Shift Map under Group Action	3
A Finite Difference Method for Solving Unsteady Fractional Oldroyd-B Viscoelastic Flow Based on Caputo Derivative	3
Retracted: Study on Announcement Effect of Stock Repurchase from the Perspective of Configuration Analysis	3
Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows	3
Sharp Threshold of Global Existence and Mass Concentration for the Schrödinger–Hartree Equation with Anisotropic Harmonic Confinement	3
Analysis and Prediction of the Dynamic Antiplane Characteristics of an Elastic Wedge-Shaped Quarter-Space Containing a Circular Hole	3
Predicting Screening Efficiency of Probability Screens Using KPCA‐GRNN with WP‐EE Feature Reconstruction	3

Dynamics Analyses and Parameter Estimation of an Improved Fractional‐Order SEAIRQ COVID‐19 Dynamic Model Based on Two Types of Fractional Derivative Operators	3
Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions	3
Computational Fluid Dynamics for Cavity Natural Heat Convection: Numerical Analysis and Optimization in Greenhouse Application	3
	3
Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods	3
Stability and Finite-Time Synchronization Analysis for Recurrent Neural Networks with Improved Integral-Type Time-Varying Delays	3