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Zbl 1160.35523
Li, Ya-Zhou; Li, Kai-Ming; Lin, Chang
Exp-function method for solving the generalized-Zakharov equations. (English)
[J] Appl. Math. Comput. 205, No. 1, 197-201 (2008). ISSN 0096-3003

Summary: The Exp-function method is used to seek exact solutions of the generalized-Zakharov equations. The validity and reliability of the method is tested by its applications to a class of nonlinear evolution equations of special interest in mathematical physics. As a result, many exact traveling wave solutions are obtained which include single and combined generalized solitonary solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.

MSC 2000:: *35Q53 KdV-like equations
35Q51 Solitons
35C05 Solutions of PDE in closed form
35A25 Other special methods (PDE)

Keywords: exp-function method; nonlinear evolution equations; generalized-Zakharov equations; solitonary solutions

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Zentralblatt MATH Berlin [Germany]