Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations

Autor:	A. Khajeh, E. Abdi Aghdam, A. Yousefi Koma, M. M. Kabir
Rok vydání:	2010
Předmět:	Nonlinear system Exact solutions in general relativity General Mathematics Mathematical analysis General Engineering Traveling wave Order (group theory) Kuramoto–Sivashinsky equation Soliton Rational function Wave equation Mathematics
Zdroj:	Mathematical Methods in the Applied Sciences. 34:213-219
ISSN:	0170-4214
DOI:	10.1002/mma.1349
Popis:	In this paper, we use the modified Kudryashov method or the rational Exp-function method to construct the solitary traveling wave solutions of the Kuramoto–Sivashinsky (shortly KS) and seventh-order Sawada–Kotera (shortly sSK) equations. These equations play a very important role in the mathematical physics and engineering sciences. Recently, Noor et al. (Noor MA, Mohyud-Din, Waheed, J. Appl. Math. Comput. 2009; 29:1–13) used the exp-function method to obtain some periodic and generalized solitary wave solutions of the KS equation. Our results improve the recent results of Noor et al. and others. Copyright © 2010 John Wiley & Sons, Ltd.
Databáze:	OpenAIRE
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