Asymptotic Calculation of Discrete Nonlinear Wave Interactions

Details Asymptotic Calculation of Discrete Nonlinear Wave Interactions Asymptotic Calculation of Discrete Nonlinear Wave Interactions

2005-07-30

arxiv.org/abs/nlin/0508003v1

Nonlinear Sciences

Pattern Formation and Solitons

10 pages, 3 figures

Scientific paper

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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