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Solitary wave solutions and kink wave solutions for a generalized KdV-mKdV equation. (English) Zbl 1210.35214
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:
35Q53KdV-like (Korteweg-de Vries) equations
35B32Bifurcation (PDE)
35C08Soliton solutions of PDE
35C05Solutions of PDE in closed form
37K50Bifurcation problems (infinite-dimensional systems)
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