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Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model.

Baron, H.E. and Zakrzewski, W.J. and Luchini, G. (2014) 'Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model.', Journal of physics A : mathematical and theoretical., 47 (26). p. 265201.

Abstract

We present a collective coordinate approximation to model the dynamics of two interacting nonlinear Schrödinger solitons. We discuss the accuracy of this approximation by comparing our results with those of the full numerical simulations and find that the approximation is remarkably accurate when the solitons are some distance apart, and quite reasonable also during their interaction.

Item Type:Article
Keywords:Soliton, NLS, Collective coordinates.
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1088/1751-8113/47/26/265201
Publisher statement:© 2014 IOP Publishing. This is an author-created, un-copyedited version of an article accepted for publication in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1751-8113/47/26/265201.
Date accepted:27 May 2014
Date deposited:16 June 2014
Date of first online publication:12 June 2014
Date first made open access:No date available

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