Abstract

In this report, a method of multiple scales is presented for the analysis of the (1+1)-dimensional seven 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

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