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Exp-function method for solving Kuramoto-Sivashinsky and Boussinesq equations. (English) Zbl 1176.65115

Summary: We use the exp-function method to construct the generalized solitary and periodic solution of the Kuramoto-Sivashinsky and Boussinesq equations. These equations play very important role in mathematical physics and engineering sciences. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The results show the reliability and efficiency of the proposed method.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
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