This article is cited in 2 papers

Perturbation of the two-soliton solution of the KdV equation

L. A. Kalyakin, V. A. Lazarev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: The Cauchy problem for the perturbed Korteveg–de Vries equation with the two-solitons initial data is considered. Differential equations for the slow deformation of the parameters, namely amplitudes and phase shifts, are derived. It is shown that the phase shift of the slow soliton depends on the deformation of the fast soliton. For some perturbations the slow deformations of the parameters are obtained in the explicit form.

Received: 17.04.1996
Revised: 17.02.1997

DOI: 10.4213/tmf1029

 English version: Theoretical and Mathematical Physics, 1997, 112:1, 866–874

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