Approximate Solution of the Kersten-Krasil’shchik Coupled Kdv-Mkdv System via Reduced Differential Transform Method

Abstract

In this paper, the approximate solution of the Kersten-Krasil’shchik coupled KdV-mKdV system is obtained by using the reduced differential transform method (RDTM). This system is regarded as a classical super-extension of the KdV equation. The obtained results are compared with the exact solutions to show the efficiency and reliability of the proposed method which can be extended to solve a large variety of nonlinear partial differential equations.

Keywords

• Reduced Differential Transform Method
• Kersten-Krasil’shchik Coupled KdV-mKdV System
• Partial Differential Equations