Solitary Wave Interactions In Dispersive Equations Using Manton's Approach

2004/10/21 by P. G. Kevrekidis, Avinash Khare, A. Saxena · 2 citations
Physics and Astronomy · #nlin.PS

paper · pdf · doi:10.1103/physreve.70.057603

5 pages, 4 figures, slightly modified version to appear in Phys. Rev. E

arxiv created 2004/10/21 · arxiv updated 2009/12/01

Abstract

We generalize the approach first proposed by Manton [Nuc. Phys. B \bf 150, 397 (1979)] to compute solitary wave interactions in translationally invariant, dispersive equations that support such localized solutions. The approach is illustrated using as examples solitons in the Korteweg-de Vries equation, standing waves in the nonlinear Schrödinger equation and kinks as well as breathers of the sine-Gordon equation.

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