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Soliton perturbation theory for nonlinear wave equations. (English) Zbl 1192.35150

Summary: This paper studies the soliton perturbation that are described by three nonlinear wave equations. The adiabatic dynamics of the soliton parameters and the soliton velocity is obtained, in the presence of perturbation terms. The fixed point is also determined in a couple of cases.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
35B20 Perturbations in context of PDEs
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References:

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