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

作者：Kabir M M^*; Khajeh A; Aghdam E Abdi; Koma A Yousefi

来源：Mathematical Methods in the Applied Sciences, 2011, 34(2): 213-219.

DOI：10.1002/mma.1349

• modified Kudryashov method
• rational exp-function method
• Kuramoto-Sivashinsky equation
• seventh-order Sawada-Kotera equation
• soliton
• traveling wave solution

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.

• 出版日期2011-1-30