Journal of Mathematics, Physics and Mechanics

Dr. Usman Younas is a Postdoctoral Fellow in the Department of Mathematics, College of Science, Shanghai University, China. He received his Ph.D. in Mathematics from Zhengzhou University, China, under the supervision of Prof. Dr. Jingli Ren. His research focuses on nonlinear differential equations, fractional calculus, soliton theory, neural network-based mathematical modeling, nonlinear dynamical systems, optical fiber communications, and mathematical physics. He has published more than 100 research papers in leading international journals, has been recognized among the World's Top 2% Scientists for three consecutive years (2023–2025), and serves as Guest Editor and reviewer for numerous prestigious journals.

• Integrable systems
• Neural network applications
• Nonlinear partial differential equations
• Dynamical analysis
• Mathematical analysis
• Fractional Calculus
• Neural Networks
• Optical Solitons
• Exact Solutions of Nonlinear Differential Equations
• Physics Fluid mechanics

• Postdoctoral Research Fellow at Shanghai University.
• Adjunct Professor, Center for Theoretical Physics, Khazar University, Azerbaijan.
• Guest Editor for multiple international special issues.
• Co-supervising Ph.D. students.
• Reviewer for 30+ international SCI journals.
• Invited speaker and presenter at international conferences.
• Ranked among the World's Top 2% Scientists (2023–2025).

1. Neural network-driven exploration of wave phenomena in ocean and fluid environments
2. Fractional longitudinal wave dynamics in magneto-electro-elastic materials: A neural network-based approach
3. Diversity of solitary structures by the application of symbolic neural network-based approach: Exploring the strain wave equation
4. Propagation of optical wave structures to the mono-mode fiber optics modeled by the fractional (2+1)-dimensional Fokas system
5. Nonlinear wave dynamics of soliton neuron model: A high-fidelity computational investigation
6. The new combined Kairat-II-X differential equation: Diversity of solitary wave structures via new techniques
7. Investigating the wave profiles to the linear quadratic model in mathematical biology
8. Dynamics of optical pulses in birefringent fibers without four-wave mixing effect via efficient computational techniques
9. On the comparative analysis for the fractional solitary wave profiles to the recently developed nonlinear system
10. Dynamics of optical wave profiles to the fractional three-component coupled nonlinear Schrödinger equation
11. Dynamics of M-truncated optical solitons in fiber optics governed by fractional dynamical systems
12. On the interaction phenomena to the nonlinear generalized Hietarinta-type equation
13. Ion-acoustic wave structures in the fluid ions modeled by higher dimensional generalized Korteweg-de Vries–Zakharov–Kuznetsov equation
14. Diversity of wave structures to the conformable fractional dynamical model
15. Construction of optical pulses and other solutions to optical fibers in the absence of self-phase modulation