The Extended Fractional Subequation Method for Nonlinear Fractional Differential Equations

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Jianping Zhao ; Bo Tang ; Sunil Kumar ; Yanren Hou (2012)
  • Publisher: Hindawi Limited
  • Journal: Mathematical Problems in Engineering (issn: 1024-123X, eissn: 1563-5147)
  • Related identifiers: doi: 10.1155/2012/924956
  • Subject: TA1-2040 | Mathematics | Engineering (General). Civil engineering (General) | Article Subject | QA1-939

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.
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