Derivation of Sawada-Kotera and Kaup-Kupershmidt equations KdV flow Equations from Derivative Nonlinear Schrödinger equation (DNLS)

KOPARAN M.

Results in Nonlinear Analysis, vol.8, no.1, pp.32-40, 2025 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.31838/rna/2025.08.01.005
  • Journal Name: Results in Nonlinear Analysis
  • Journal Indexes: Scopus, Directory of Open Access Journals
  • Page Numbers: pp.32-40
  • Keywords: DNLS type equations, Kaup-Kupershmidt equation, Multiple scales method, Sawada-Kotera equation
  • Anadolu University Affiliated: Yes

Abstract

The mathematical models of problems that arise in almost every branch of science are nonlinear equations of evolution (NLEE). In the past years, equations of formation have gained a significant place in applied mathematics. This study is about the multiple scales method, known as the perturbation method, for the derivative nonlinear Schrödinger (DNLS) equation. In this report, the multiple scales method was applied for the analysis of the derivative nonlinear Schrödinger (DNLS) equation. And (1 + 1) dimensional fifth-order nonlinear Kortewegde Vries (fKdV) type equations were obtained. So, we have demonstrated the relationship between the KdV equations and the DNLS-type equation.