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Asymptotic Calculation of Discrete Nonlinear Wave Interactions

P. G. Kevrekidis·Avinash Khare·A. Saxena·I. Bena·A. R. Bishop
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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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P. G. Kevrekidis, Avinash Khare, A. Saxena, I. Bena, A. R. Bishop. 2005-07-30. Asymptotic Calculation of Discrete Nonlinear Wave Interactions. https://arxiv.org/abs/nlin/0508003

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