Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations

Aydn Z., TAŞCAN F.

Computational Methods for Differential Equations, vol.13, no.2, pp.608-617, 2025 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 2
  • Publication Date: 2025
  • Doi Number: 10.22034/cmde.2024.60001.2558
  • Journal Name: Computational Methods for Differential Equations
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.608-617
  • Keywords: Exact solutions, Nonlinear partial differential equations, Travelling wave solutions
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this article, with the help of the new Kudryashov method, we examine general solutions to the (2+1)-dimensional Sawada-Kotera equation (SKE) and Kaup-Kupershmidt (KK) equation. Using Maple, a symbolic computing application, it was shown that all obtained solutions are given by hyperbolic, exponential and logaritmic function solutions which obtained solutions are useful for fluid dynamics, optics and so on. Finally, we have presented some graphs for general solutions of these equations with special parameter values. The reliability and scope of programming provide eclectic applicability to high-dimensional nonlinear evolution equations for the development of this method. The results found gave us important information regarding the applicability of the new Kudryashov method.