期刊
PHYSICS LETTERS A
卷 376, 期 4, 页码 407-411出版社
ELSEVIER
DOI: 10.1016/j.physleta.2011.10.056
关键词
Improved fractional sub-equation method; Modified Riemann-Liouville derivative; Fractional differential equation; Whitham-Broer-Kaup equations; Generalized Hirota-Satsuma coupled KdV equations
资金
- NSF of China [10971164, 70801019]
- Ministry of Education of China
By introducing a new general ansatz, the improved fractional sub-equation method is proposed to construct analytical solutions of nonlinear evolution equations involving Jumarie's modified Riemann-Liouville derivative. By means of this method, the space-time fractional Whitham-Broer-Kaup and generalized Hirota-Satsuma coupled KdV equations are successfully solved. The obtained results show that the proposed method is quite effective, promising and convenient for solving nonlinear fractional differential equations. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.
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