Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 216, Issue 11, Pages 3146-3153Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.04.029
Keywords
The extended simplest equation method; The travelling wave solutions; The fifth-order KdV equation
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Funding
- Special Foundation of Doctoral Unit of The Ministry of Education of China [20070128001]
- Shanghai Education Committee [09YZ239]
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In this paper, an extended simplest equation method is proposed to seek exact travelling wave solutions of nonlinear evolution equations. As applications, many new exact travelling wave solutions for several forms of the fifth-order KdV equation are obtained by using our method. The forms include the Lax, Sawada-Kotera, Sawada-Kotera-Parker-Dye, Caudrey-Dodd-Gibbon, Kaup-Kupershmidt, Kaup-Kupershmidt-Parker-Dye, and the Ito forms. (C) 2010 Elsevier Inc. All rights reserved.
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