Sine–Cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation

In this paper, we use a modified form of the Sine–Cosine method for obtaining exact soliton solutions of the generalized fifth-order nonlinear evolution equation. Analysis for this method is presented. The present method shows that the solutions involve either sec 2 or sech 2 under certain condition...

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Bibliographic Details
Published inChaos, solitons and fractals Vol. 33; no. 5; pp. 1610 - 1617
Main Authors Al-Mdallal, Qasem M., Syam, Muhammad I.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2007
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Summary:In this paper, we use a modified form of the Sine–Cosine method for obtaining exact soliton solutions of the generalized fifth-order nonlinear evolution equation. Analysis for this method is presented. The present method shows that the solutions involve either sec 2 or sech 2 under certain conditions. General forms of those conditions are determined for the first time. Exact solutions for special cases of this problem such as the Sawada-Kotera and Lax equations are determined and found to be compared well with the previous studies.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2006.03.039