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Zbl 1210.35214
Song, Ming; Hou, Xuejiong; Cao, Jun
Solitary wave solutions and kink wave solutions for a generalized KdV-mKdV equation. (English)
[J] Appl. Math. Comput. 217, No. 12, 5942-5948 (2011). ISSN 0096-3003

Summary: Bifurcation method of dynamical systems is employed to investigate solitary wave solutions and kink wave solutions of the generalized KDV-mKDV equation. Under some parameter conditions, their explicit expressions are obtained.
MSC 2000:
*35Q53 KdV-like equations
35B32 Bifurcation (PDE)
35C08
35C05 Solutions of PDE in closed form
37K50 Bifurcation problems

Keywords: generalized KdV-mKdV equation; bifurcation of phase portraits; solitary wave solutions; kink wave solutions

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