Asymptotic Calculation of Discrete Nonlinear Wave Interactions

Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Bena Coppex, Ioana Carla; Bishop, A. R.

Scientific article

Open access

English

Asymptotic Calculation of Discrete Nonlinear Wave Interactions

ContributorsKevrekidis, P. G.; Khare, Avinash; Saxena, A.; Bena Coppex, Ioana Carla; Bishop, A. R.

Published inMathematics and computers in simulation, vol. 74, p. 405-413

Publication date2007

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.

Classification

arxiv : nlin.PS

Affiliation

Faculté des sciences / Section de physique / Département de physique théorique

Citation (ISO format)

KEVREKIDIS, P. G. et al. Asymptotic Calculation of Discrete Nonlinear Wave Interactions. In: Mathematics and computers in simulation, 2007, vol. 74, p. 405–413.

Article

Identifiers

PID : unige:12934
arXiv : nlin/0508003

ISSN of the journal0378-4754

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Asymptotic Calculation of Discrete Nonlinear Wave Interactions

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