Asymptotic Calculation of Discrete Nonlinear Wave Interactions
Pattern Formation and Solitons
2007-05-23 v1
Abstract
We illustrate how to compute asymptotic interactions between discrete solitary waves of dispersive equations, using the approach proposed by Manton [Nucl. Phys. B 150, 397 (1979)]. We also discuss the complications arising due to discreteness and showcase the application of the method in nonlinear Schrodinger, as well as in Klein-Gordon lattices, finding excellent agreement with direct numerical computations.
Cite
@article{arxiv.nlin/0508003,
title = {Asymptotic Calculation of Discrete Nonlinear Wave Interactions},
author = {P. G. Kevrekidis and Avinash Khare and A. Saxena and I. Bena and A. R. Bishop},
journal= {arXiv preprint arXiv:nlin/0508003},
year = {2007}
}
Comments
10 pages, 3 figures