Asymptotic Calculation of Discrete Nonlinear Wave Interactions

2005/07/30 by P. G. Kevrekidis, Avinash Khare, Kevrekidis, P. G. +7
Physics and Astronomy · #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0508003

10 pages, 3 figures

arxiv created 2005/07/30 · arxiv updated 2009/12/01

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.

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