Solitary wave interactions in dispersive equations using Manton’s approach

PG Kevrekidis, University of Massachusetts - Amherst
A Khare
A Saxena

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This is the pre-published version harvested from arXiv. The published version is located at http://link.aps.org/doi/10.1103/PhysRevE.70.057603

Abstract

We generalize the approach first proposed by Manton [Nucl. Phys. B 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.