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Zbl 1045.37045
Li, Jibin; Zhang, Jixiang
Bifurcations of travelling wave solutions for the generalization form of the modified KdV equation. (English)
[J] Chaos Solitons Fractals 21, No. 4, 899-913 (2004). ISSN 0960-0779

Summary: By using the theory of bifurcations of dynamical systems to the generalization form of the modified KdV equation, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth and nonsmooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given.
MSC 2000:
*37K50 Bifurcation problems
37K40 Soliton theory, asymptotic behavior of solutions
35Q53 KdV-like equations
37J20 Bifurcation problems

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