Bifurcation of traveling wave solutions for the generalized compound KdV equations. (English) Zbl 1202.35047
Summary: By using the theory of bifurcations of dynamical systems to the generalized compound KdV equations, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth periodic wave solutions are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given.
MSC:
| 35C07 | Traveling wave solutions |
| 35B32 | Bifurcations in context of PDEs |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
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