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.
Citation
Shoukry Ibrahim Atia El-Ganaini. "New Exact Solutions of Some Nonlinear Systems of Partial Differential Equations Using the First Integral Method." Abstr. Appl. Anal. 2013 1 - 13, 2013. https://doi.org/10.1155/2013/693076
Information