Advances in Mathematical Physics

2009 - 2025

Continued by Advances in Mathematical Physics.

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Volume 2025, month 5, 2025

Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential pp. 1-19

Ishrat Bibi, Shah Muhammad, Muhammad Shakeel and Baboucarr Ceesay

Volume 2025, month 4, 2025

Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink pp. 1-22

Hundasa Chala Nagari, Mitiku Daba Firdi and Ebba Hindebu Rikitu

Different Dimension Synchronization of Bidirectionally Coupled Chaotic Systems With Unknown Time-Varying Parameter Interference pp. 1-15

Chunli Zhang, Yangjie Gao and Fucai Qian

A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic Equation pp. 1-15

Nuru Ahmed Endrie and Gemechis File Duressa

Volume 2025, month 3, 2025

Eigenvalue Localization Inequalities for Complex Matrices With Order n≥3 pp. 1-4

Rong Ma and Feng Zhang

Volume 2025, month 2, 2025

Triple Diffusive Convection in a Fluid Layer Under an A.C Electric Field pp. 1-14

Sureshkumar S., Krishna B. Chavaraddi, Priya M. Gouder, G. K. Ramesh, J. K. Madhukesh, Umair Khan, Anuar Ishak and Syed Modassir Hussain

Volume 2025, month 1, 2025

Travelling Wave Solutions of a Time Regularised Long Wave Equation Associated With the Korteweg-de Viries Equation in Fluid Dynamics pp. 1-6

Ercan Çelik

Leveraging Attention Mechanisms in Neural Networks for High-Order Accuracy in Particle-in-Cell Simulations pp. 1-12

Jian-Nan Chen and Jun-Jie Zhang

Volume 2024, month 12, 2024

Wave Dynamics in Design: The Role of Nonlinear Potential Burgers’ Equation With Variable Coefficients pp. 1-20

Xiuchuan He, Hui Xiong, Jianming Qi, Yiqun Sun and Ivan Giorgio

Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids pp. 1-4

Jae-Myoung Kim and Giuseppe Pellicane

Crank–Nicolson Method for Singularly Perturbed Unsteady Parabolic Problem With Multiple Boundary Turning Points pp. 1-15

Yimesgen Mehari Kebede, Awoke Andargie Tiruneh, Endalew Getnet Tsega and Ivan Giorgio

Volume 2024, month 11, 2024

Gyroscopic Torques Generated by a Spinning Ring Torus pp. 1-10

Ryspek Usubamatov

The Existence of Weak Solutions for Bidirectional Fluid–Structure Coupling Problem in 2D Arterial Blood Flow pp. 1-12

Weifeng Hu, Yunzhang Cheng and Zine El Abiddine Fellah

A Composite Wavelet–Rational Approach for Solving the Volterra’s Population Growth Model Over Semi-Infinite Domain pp. 1-12

Leila Rangipoor, Tavassoli Kajani Majid, Saeid Jahangiri and Emilio Turco

A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations pp. 1-22

Muhammad Imran Liaqat, Adnan Khan, Hafiz Muhammad Anjum, Gregory Abe-I-Kpeng, Emad E. Mahmoud and S. A. Edalatpanah

Numerical Investigation of Ternary Hybrid Non-Newtonian Nanofluids and Heat Transport Over an Inclined Shrinking Sheet Utilizing Artificial Neural Network pp. 1-31

Syed Zahir Hussain Shah, Hafiz Abdul Wahab, Shabbir Ahmad, Umair Khan, Anuar Ishak, El-Sayed M. Sherif, Muhammad Sajjad and Ivan Giorgio

Analytical Treatments for a Coupled (2+1)-Dimensional Partial Differential Equations in Nonlinear Physics pp. 1-16

Wubshet Ibrahim, Teresa Negesa and Manuel De León

Volume 2024, month 10, 2024

Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating Techniques pp. 1-21

Miguel Vivas-Cortez, Maasoomah Sadaf, Saima Arshed, Kashif Rehan, Ghazala Akram, Komal Saeed and Sergey Shmarev

The Darboux Transformation for a New Fractional Schrödinger Equation Hierarchy pp. 1-13

Xiao-ming Zhu, Jian-bing Zhang, Shou-ting Chen and Boris G. Konopelchenko

Dynamic Behaviors and Analytical Solutions of the Damped (2+1)-Dimensional Nonlinear Schrödinger Equation pp. 1-23

Yongyi Gu, Feng Ye, Baixin Chen, Najva Aminakbari and Ivan Giorgio

Solving the Nonlinear Charged Particle Oscillation Equation Using the Laplace–Adomian Decomposition Method pp. 1-9

Omar Alomari, Bashar F. Garalleh, Emad K. Jaradat, Behzad Omidi Koma and Ivan Giorgio

A Method of Constructing Superpotentials by Combining Two Functions Based on Shape Invariance pp. 1-12

Wenxin Qiu, Yin Yin, Wei Cheng, Yao Liu, Guang Luo and Antonio Scarfone

Fast Assessment Method for Transient Voltage Stability of Photovoltaic Receiving-End Grid pp. 1-12

Ying Qu, Xiaoqing Han, Tao Meng, Xinyuan Liu, Danyang Chen, Zhewen Niu and Mahnoor Sarfraz

Volume 2024, month 9, 2024

Computational Role of Autocatalytic Chemical Reaction in the Dynamics of a Ternary Hybrid Nanofluid Past a Rotating Stretching Surface pp. 1-15

Shreedevi Madiwal, N. B. Naduvinamani, J. K. Madhukesh, Umair Khan, Anuar Ishak, Raman Kumar, Md Irfanul Haque Siddiqui and Mohammad Mirzazadeh

Formula of Cylindrical Spring Stiffness for Nonlinear Large Deformation and Its FEM Verification pp. 1-10

Zhi Huang, Fengying Xiao, Risheng Zhu, Chunhua Rao, Mojia Huang, Tengfei Zhao, Huajie Yin and Ivan Giorgio

Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal Loading pp. 1-12

Mahsa Nourazar, Weilin Yang, Zengtao Chen and S. A. Edalatpanah

A New Translation Operator by Covariant Derivative in the Generalized Space pp. 1-6

Mehdi Jafari Matehkolaee, Houshyar Noshad and Antonio Scarfone

The Z-Tensor on Almost Co-Kählerian Manifolds Admitting Riemann Soliton Structure pp. 1-14

Sunil Kumar Yadav, Sameh Shenawy, Nasser Bin Turki, Rajendra Prasad and Mohammad Mirzazadeh

Volume 2024, month 08, 2024

Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods pp. 1-23

Md. Mamunur Roshid, Mosfiqur Rahman, Mahtab Uddin, Harun Or Roshid and Onur Alp Ilhan

Volume 2024, month 8, 2024

Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena pp. 1-10

Hajar F. Ismael, Usman Younas, Tukur Abdulkadir Sulaiman, Muhammad Amin S. Murad, Nehad Ali Shah, Shams Forruque Ahmed and Leopoldo Greco

Radar Target Detection with K-Nearest Neighbor Manifold Filter on Riemannian Manifold pp. 1-12

Dongao Zhou, Weilong Yang, Zhaopeng Liu, Manhui Sun and Antonio Scarfone

FSE-RBFNN-Based AILC of Finite Time Complete Tracking for a Class of Time-Varying NPNL Systems with Initial State Errors pp. 1-19

Chunli Zhang, Lei Yan, Yangjie Gao and Leopoldo Greco

Volume 2024, month 7, 2024

The Riemann Problem for the Blood Flow Model with Body Force Term pp. 1-11

Wancheng Sheng, Shufang Xu and Leopoldo Greco

Chemical Reaction Effects on the Flow of Titanium Dioxide–Water in a Mixed Convective Nanofluid along an Inclined Plate in a Porous Medium pp. 1-11

Md. Nasir Uddin, Kakali Chowdhury, Jannatul Ferdows Mim and Mahnoor Sarfraz

Abundant Exact Solutions of the Fractional Stochastic Bogoyavlenskii Equation pp. 1-14

Farah M. Al-Askar and Jorge E. Macias-Diaz

The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation pp. 1-8

Lu-feng Yang and Igor Freire

Exploring Solution Strategies for Volterra Integro-Differential Lane–Emden Equations in Astrophysics Using Haar Scale 3 Wavelets pp. 1-20

Ratesh Kumar, Sabiha Bakhtawar, Homan Emadifar and Zengtao Chen

Volume 2024, month 6, 2024

Predicting Screening Efficiency of Probability Screens Using KPCA-GRNN with WP-EE Feature Reconstruction pp. 1-11

Qingtang Chen, Yijian Huang and Zine El Abiddine Fellah

Constructing Attention-LSTM-VAE Power Load Model Based on Multiple Features pp. 1-15

Chaoyue Ma, Ying Wang, Feng Li, Huiyan Zhang, Yong Zhang, Haiyan Zhang and S. A. Edalatpanah

The Perturbed Chen–Lee–Liu Equation: Diverse Optical Soliton Solutions and Other Wave Solutions pp. 1-13

Kang-Jia Wang and Manuel De León

Volume 2024, month 5, 2024

An Improved Boundary Element Method for Predicting Half-Space Scattered Noise Combined with Permeable Boundaries pp. 1-19

Wensi Zheng, Fang Wang and Mohammad W. Alomari

Volume 2024, month 4, 2024

Monotone Iterative Technique for a Kind of Nonlinear Fourth-Order Integro-Differential Equations and Its Application pp. 1-10

Yan Wang, Jinxiang Wang, Xiaobin Yao and Mohammad W. Alomari

Analysis of the Dynamics of a Cubic Nonlinear Five-Dimensional Memristive Chaotic System and the Study of Reduced-Dimensional Synchronous Masking pp. 1-22

Lina Ding, Pan Wang and Zine El Abiddine Fellah

New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy pp. 1-7

Wei Zhu, Jian-Yong Wang, Kai Zhou, Shoufeng Shen, Bo Ren and Mohammad Mirzazadeh

Transient Response of Multiple Interface Cracks in Fine-Grained Coating Composite Structures under Impact Loading pp. 1-15

Shuaishuai Hu, Junlin Li and Manuel De León

Volume 2024, month 3, 2024

Extended Conformable K-Hypergeometric Function and Its Application pp. 1-12

Maham Abdul Qayyum, Aya Mohammed Dhiaa, Abid Mahboob, Muhammad Waheed Rasheed, Abdu Alameri and Manuel de León

Volume 2024, month 1, 2024

Application of Constant Proportional Caputo Fractional Derivative to Thermodiffusion Flow of MHD Radiative Maxwell Fluid under Slip Effect over a Moving Flat Surface with Heat and Mass Diffusion pp. 1-13

Adnan Ahmad, M. Nazar, M. Ahmad, Sayed M. Eldin, Zaib Un Nisa, Hassan Waqas, M. Imran and Mohammad W. Alomari

Aspects of Non-unique Solutions for Hiemenz Flow Filled with Ternary Hybrid Nanofluid over a Stretching/Shrinking Sheet pp. 1-10

Farah Nadzirah Jamrus, Anuar Ishak, Iskandar Waini, Umair Khan, Md Irfanul Haque Siddiqui, J. K. Madhukesh and Ghulam Rasool

Retracted: Multiperson Target Dynamic Tracking Method for Athlete Training Based on Wireless Body Area Network pp. 1-1

Advances in Mathematical Physics

Retracted: ECG Signal Detection and Classification of Heart Rhythm Diseases Based on ResNet and LSTM pp. 1-1

Advances in Mathematical Physics

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 Heating in a Porous Medium pp. 1-16

M. Sulemana, Y. I. Seini, O. D. Makinde and Luigi C. Berselli