New Exact Solutions of Some Nonlinear Systems of Partial Differential Equations Using the First Integral Method

Shoukry Ibrahim Atia El-Ganaini

Abstract and Applied Analysis, 2013, vol. 2013, 1-13

Abstract:

The first integral method introduced by Feng is adopted for solving some important nonlinear systems of partial differential equations, including classical Drinfel'd-Sokolov-Wilson system (DSWE), (2 + 1)-dimensional Davey-Stewartson system, and generalized Hirota-Satsuma coupled KdV system. This method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are formally derived in a concise manner. This method can also be applied to nonintegrable equations as well as integrable ones.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:693076

DOI: 10.1155/2013/693076

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