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Zbl 1180.35445
Layeni, O.P.
A new rational auxiliary equation method and exact solutions of a generalized Zakharov system. (English)
[J] Appl. Math. Comput. 215, No. 8, 2901-2907 (2009). ISSN 0096-3003

Summary: A new rational auxiliary equation method for obtaining exact traveling wave solutions of constant coefficient nonlinear partial differential equations of evolution is proposed. Its effectiveness is evinced by obtaining exact solutions of a generalized Zakharov system, some of which are new. It is shown that the $G{^{\prime}}/G$ and the generalized projective Ricatti expansion methods are special cases of the auxiliary equation method. Further, due the solutions obtained, four other new and practicable rational methods are deduced.

MSC 2000:: *35Q51 Solitons
35C07
35A24
35A30 Geometric theory for PDE, transformations

Keywords: rational auxiliary equation method; exact traveling wave solution; generalized Zakharov system

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