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Zbl 1219.35233
Gurefe, Yusuf; Misirli, Emine
Exp-function method for solving nonlinear evolution equations with higher order nonlinearity. (English)
[J] Comput. Math. Appl. 61, No. 8, 2025-2030 (2011). ISSN 0898-1221

Summary: The exp-function method is used to obtain generalized solitary solutions of the generalized Drinfel'd-Sokolov-Wilson (DSW) system and the generalized $(2+1)$-dimensional Burgers-type equation. Then, some of the solitary solutions are converted to periodic solutions or hyperbolic function solutions by a simple transformation. The results show that the Exp-function method is a powerful and convenient mathematical tool for solving nonlinear evolution equations with higher order nonlinearity.

MSC 2000:: *35Q53 KdV-like equations
35C08

Keywords: exp-function method; generalized (2+1)-dimensional Burgers-type equation; generalized Drinfeld-sokolov-Wilson system; periodic solution

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Zentralblatt MATH Berlin [Germany]