Article ID Journal Published Year Pages File Type
4633069 Applied Mathematics and Computation 2009 10 Pages PDF
Abstract

In this paper, we investigate the classical Drinfel’d–Sokolov–Wilson equation (DSWE)ut+pvvt=0,vt+ruvx+suxv+qvxxx=0,where p, q, r, s are some nonzero parameters. Some explicit expressions of solutions for the equation are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain solitary wave solutions, blow-up solutions, periodic solutions, periodic blow-up solutions and kink-shaped solutions. Some previous results are extended.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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