Publication Date
2007
Journal or Book Title
Mathematics and Computers in Simulation
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.
Pages
405-413
Volume
74
Issue
4-5
Recommended Citation
Kevrekidis, PG, "Asymptotic calculation of discrete non-linear wave interactions" (2007). Mathematics and Computers in Simulation. 1144.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1144
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