Derivation of Sawada-Kotera and Kaup-Kupershmidt equations KdV Flow Equations from Derivative Nonlinear Schrödinger Equation (DNLS)
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Multiple scales method, Sawada-Kotera equation, Kaup-Kupershmidt equation, DNLS type equationsAbstract
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 Korteweg-de Vries (fKdV) type equations were obtained. So, we have demonstrated the relationship between the KdV equations and the DNLS-type equation.
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