Article
Asymptotic calculation of discrete non-linear wave interactions
Mathematics and Computers in Simulation
Publication Date
2007
Abstract
We illustrate how to compute asymptotic interactions between discrete solitary waves of dispersive equations, using the approach proposed by Manton [N.S. Manton, Nucl. Phys. B 150 (1979) 397]. We also discuss the complications arising due to discreteness and showcase the application of the method in non-linear Schrödinger, as well as in Klein-Gordon lattices, finding excellent agreement with direct numerical computations.
Disciplines
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0T-4MJJC5G-1&_user=1516330&_coverDate=03%2F30%2F2007&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1581479997&_rerunOrigin=google&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=f7646e8f06a4fbe13ba4478cf0d1ccf2&searchtype=a
Pages
405-413
Citation Information
PG Kevrekidis. "Asymptotic calculation of discrete non-linear wave interactions" Mathematics and Computers in Simulation Vol. 74 Iss. 4-5 (2007) Available at: http://works.bepress.com/panos_kevrekidis/17/