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Asymptotic Calculation of Discrete Nonlinear Wave Interactions

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Kevrekidis, P. G.
Khare, Avinash
Saxena, A.
Bishop, A. R.
Published in Mathematics and Computers in Simulation. 2007, vol. 74, p. 405-413
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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KEVREKIDIS, P. G. et al. Asymptotic Calculation of Discrete Nonlinear Wave Interactions. In: Mathematics and Computers in Simulation, 2007, vol. 74, p. 405-413. https://archive-ouverte.unige.ch/unige:12934

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Deposited on : 2010-12-17

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