Travelling Wave Solutions for Some Time-Fractional Nonlinear Differential Equations

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Black Sea Journal of Engineering and Science
Volume:7 Issue:2
Travelling Wave Solutions for Some Time-Fractional Nonlinear Differential Equations

Travelling Wave Solutions for Some Time-Fractional Nonlinear Differential Equations

Authors : Mustafa Ekici

Pages : 246-253

Doi:10.34248/bsengineering.1413250

View : 107 | Download : 61

Publication Date : 2024-03-15

Article Type : Research Paper

Abstract :This study employs the powerful generalized Kudryashov method to address the challenges posed by fractional differential equations in mathematical physics. The main objective is to obtain new exact solutions for three important equations: the (3+1)-dimensional time fractional Jimbo-Miwa equation, the (3+1)-dimensional time fractional modified KdV-Zakharov-Kuznetsov equation, and the (2+1)-dimensional time fractional Drinfeld-Sokolov-Satsuma-Hirota equation. The generalized Kudryashov method is highly versatile and effective in addressing nonlinear problems, making it a pivotal component in our research. Its adaptability makes it useful in diverse scientific disciplines. The method simplifies complex equations, improving our analytical capabilities and deepening our understanding of system dynamics. Additionally, we define fractional derivatives using the conformable fractional derivative framework, providing a strong foundation for our mathematical investigations. This paper examines the effectiveness of the generalized Kudryashov method in solving complex challenges presented by fractional differential equations and aims to provide guidance for future studies.
Keywords : Kudryashov method, Time fractional Jimbo Miwa equation, KdV Zakharov Kuznetsov equation, Drinfeld Sokolov Satsuma Hirota equation, Conformable fractional derivative

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.