The Extended Fractional Subequation Method for Nonlinear Fractional Differential Equations

Jianping Zhao, Bo Tang, Sunil Kumar and Yanren Hou

Mathematical Problems in Engineering, 2012, vol. 2012, 1-11

Abstract:

An extended fractional subequation method is proposed for solving fractional differential equations by introducing a new general ansätz and Bäcklund transformation of the fractional Riccati equation with known solutions. Being concise and straightforward, this method is applied to the space-time fractional coupled Burgers’ equations and coupled MKdV equations. As a result, many exact solutions are obtained. It is shown that the considered method provides a very effective, convenient, and powerful mathematical tool for solving fractional differential equations.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:924956

DOI: 10.1155/2012/924956

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