Solitary Wave Interactions In Dispersive Equations Using Manton's Approach
Pattern Formation and Solitons
2009-11-10 v1
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 Schr{\"o}dinger equation and kinks as well as breathers of the sine-Gordon equation.
Cite
@article{arxiv.nlin/0410045,
title = {Solitary Wave Interactions In Dispersive Equations Using Manton's Approach},
author = {P. G. Kevrekidis and Avinash Khare and A. Saxena},
journal= {arXiv preprint arXiv:nlin/0410045},
year = {2009}
}
Comments
5 pages, 4 figures, slightly modified version to appear in Phys. Rev. E