A5107972089- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Fractional Differential Equations Solutions
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Advanced Mathematical Physics Problems
Gopalganj Science and Technology University
2025
Pabna University of Science and Technology
2013-2022
University of Rajshahi
2022
The present work deals with the investigation of time‐fractional Klein–Gordon (K‐G) model, which has great importance in theoretical physics applications various fields, including quantum mechanics and field theory. main motivation this is to analyze modulation instability soliton solution K‐G model. Comparative studies are investigated by β ‐fraction derivative M ‐fractional derivative. For purpose, we used unified advanced exp(− ϕ ( ξ ))‐expansion approaches that highly important tools...
We construct soliton solutions of the complex time fractional Schrodinger model (tFSM), as well space–time differential (stFDM), leading wave spread through electrical transmission lines (ETLM) in low pass with help modified simple equation scheme. The approach provides us generalized rational exponential function some free parameters. A few well-known solitary resolutions are derived, starting from selecting specific values constants. precise acquired via technique signify that scheme is...
The perturbed Korteweg-de Vries (PKdV) equation is essential for describing ion-acoustic waves in plasma physics, accounting higher-order effects such as electron temperature variations and magnetic field influences, which impact their propagation stability. This work looks at the generalized PKdV (gPKdV) with an M-fractional operator. It uses bifurcation theory to look critical points phase portraits, showing system changes shifts stability start of chaos. Figures 1, 2 3 provide detailed...
Exact solutions of nonlinear evolution equations (NLEEs) play very important role to make known the inner mechanism compound physical phenomena.In this paper, new generalized ( G / ′ )-expansion method is used for constructing exact traveling wave some arising in mathematical physics namely, (3+1)-dimensional Zakharov-Kuznetsov equation and Burgers equation.As a result, are expressed terms hyperbolic, trigonometric rational functions.This easy, direct, concise simple implement as compared...
A new extended (G ′ /G)-expansion method is presented in this paper to construct more general type and traveling wave solutions of nonlinear partial differential equations.To illustrate the novelty advantage proposed method, we solve (3+1)-dimensional Jimbo-Miwa equation.Abundant exact equation obtained, which successfully recover most previously published solutions.Many those are found for first time.Furthermore, results reveal that very elementary, effective can be used many other equations.
By using Modified simple equation method, we study the Cahn Allen which arises in many scientific applications such as mathematical biology, quantum mechanics and plasma physics. As a result, existence of solitary wave solutions is obtained. Exact explicit interms hyperbolic associated are characterized with some free parameters. Finally, variety structure graphical representation make dynamics equations visible provides foundation