A MULTIPLE SCALES METHOD FOR SOLVING NONLINEAR KdV7 EQUATION

Abstract

In this report, a method of multiple scales is presented for the analysis of the (1+1)-dimensional seventh-order Korteweg-de Vries (KdV7) equation and we derive nonlinear Schrödinger (NLS) type equation. Also we found the exact solutions for (1+1)dimensional KdV7 equation by using the    G G expansion method. These methods are very simple and effective for getting integrability and exact solutions of KdV type equations.