Asymptotic calculation of discrete non-linear wave interactions

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.

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Year of publication:	2007
Authors:	Kevrekidis, P.G. ; Khare, Avinash ; Saxena, A. ; Bena, I. ; Bishop, A.R.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 74.2007, 4, p. 405-413
Publisher:	Elsevier
Subject:	Non-linear wave interactions \| Klein-Gordon lattices \| Ablowitz–Ladik model

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050889