Asymptotic Calculation of Discrete Nonlinear Wave Interactions
P. G. Kevrekidis, Avinash Khare, A. Saxena, I. Bena, A. R. Bishop
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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