Construction Of New Soliton And Wave Solutions Of Nonlinear Space-Time Fractionalized Partial Differential Equation Via Modified Kudryashov Method
https://doi.org/10.5281/zenodo.20786912
DOI:
https://doi.org/10.66021/Keywords:
Exact Solutions; Modified Kudryashov Method; Solitary Wave Solutions; Space–Time Equations Involving Fractional Partial Differentials; Riemann–Liouville Fractional Derivative.Abstract
In this article nonlinear space-time fractional Modified KDV (MKDV), and Generalized Boussinesq (GB) equations are analyzed, identifying a variety of physical phenomena, including fluid dynamics, nonlinear optics, shallow water wave transmission, and plasma physics. The well-known generalized closed-form soliton solutions are obtained by utilizing Modified Kudryashov technique. Through the appropriate travelling wave transformations, after the nonlinear fractional equations with partial differentials are moderated to an algebraic system of nonlinear equations, MATLAB is employed to resolve the resulting algebraic equations with the necessary parameters. Transcendental functions are employed to express the consequent closed-form soliton solutions, and graph are illustrate to demonstrate the physical address of the answers that were produced solutions, which represents, Kink, dark, and bright solutions. That’s crucial to note that the Modified Kudryashov approach is a great mathematical tool for obtaining soliton solutions of fractional differential equations that are nonlinear and do not require linearization, perturbation, or needless assumptions that could change the problem's physical behavior. Additionally, the obtained generalized soliton solutions will aid in grasping the intricate dynamics of the equations under consideration and are not documented in the literature.
