Kevrekidis, P. G. ; Khare, Avinash. ; Saxena, A. ; Bena, I. ; Bishop, A. R. (2007) Asymptotic calculation of discrete non-linear wave interactions Mathematics and Computers in Simulation, 74 (4-5). pp. 405-413. ISSN 0378-4754
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03784...
Related URL: http://dx.doi.org/10.1016/j.matcom.2006.10.027
Abstract
We illustrate how to compute asymptotic interactions between discrete solitary waves of dispersive equations, using the approach proposed by Manton [N.S. Manton, Nucl. Phys. B 150 (1979) 397]. We also discuss the complications arising due to discreteness and showcase the application of the method in non-linear Schrodinger, as well as in Klein-Gordon lattices, finding excellent agreement with direct numerical computations.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Non-linear Wave Interactions; Klein-Gordon Lattices; Ablowitz-ladik Model |
| ID Code: | 17733 |
| Deposited On: | 16 Nov 2010 13:27 |
| Last Modified: | 17 May 2016 02:21 |
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