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Modified Kudryashov method for finding exact solitary wave solutions of higher‐order nonlinear equations
Author(s) -
Kabir M. M.,
Khajeh A.,
Abdi Aghdam E.,
Yousefi Koma A.
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1349
Subject(s) - mathematics , traveling wave , rational function , order (exchange) , function (biology) , construct (python library) , nonlinear system , mathematical physics , mathematical analysis , computer science , physics , quantum mechanics , finance , economics , evolutionary biology , biology , programming language
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.