Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632541 | Applied Mathematics and Computation | 2009 | 7 Pages |
Abstract
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 Gâ²/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.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
O.P. Layeni,