Asymptotic calculation of discrete non-linear wave interactions

P.G. Kevrekidis, Avinash Khare, A. Saxena, I. Bena and A.R. Bishop

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 74, issue 4, 405-413

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.

Keywords: Non-linear wave interactions; Klein-Gordon lattices; Ablowitz–Ladik model (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:74:y:2007:i:4:p:405-413

DOI: 10.1016/j.matcom.2006.10.027

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