Title
New exact solutions for the classical Drinfel'd-Sokolov-Wilson equation
Abstract
In this paper, we investigate the classical Drinfel'd-Sokolov-Wilson equation (DSWE)u\"t+pvv\"t=0,v\"t+ruv\"x+su\"xv+qv\"x\"x\"x=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.
Year
DOI
Venue
2009
10.1016/j.amc.2009.08.025
Applied Mathematics and Computation
Keywords
Field
DocType
classical drinfel’d–sokolov–wilson equation,new exact solutions,bifurcation method,classical drinfel'd-sokolov-wilson equation,exact solution,dynamic system
Exact solutions in general relativity,Expression (mathematics),Mathematical analysis,Bifurcation theory,Dynamical systems theory,Numerical analysis,Periodic graph (geometry),Dynamical system,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
215
6
Applied Mathematics and Computation
Citations 
PageRank 
References 
7
1.04
0
Authors
3
Name
Order
Citations
PageRank
Zhenshu Wen171.72
Zhengrong Liu2259.02
Ming Song3376.68