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Asymptotic Calculation of Discrete Nonlinear Wave Interactions

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.

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  • arxiv : nlin.PS
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.
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Journal ISSN0378-4754
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