Journal
MATHEMATICAL PROBLEMS IN ENGINEERING
Volume 2012, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2012/924956
Keywords
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Funding
- NSF of China [10971166, 11171269, 61163027]
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An extended fractional subequation method is proposed for solving fractional differential equations by introducing a new general ansatz and Backlund 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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