Article ID Journal Published Year Pages File Type
4634171 Applied Mathematics and Computation 2008 7 Pages PDF
Abstract

With the aid of symbolic computation, a generalized auxiliary equation method is proposed to construct more general exact solutions to some types of NLPDEs. In this letter, using the auxiliary equation method, some new solitary and traveling wave solutions of such nonlinear mDP equations given by ut-uxxt+4u2ux=3uxuxx+uuxxxut-uxxt+4u2ux=3uxuxx+uuxxx are obtained in a very general form. Several interesting special cases of these general solutions are also discussed.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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