Abstract | ||
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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 |
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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 Wen | 1 | 7 | 1.72 |
Zhengrong Liu | 2 | 25 | 9.02 |
Ming Song | 3 | 37 | 6.68 |