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

Baron, H.E.; Zakrzewski, W.J.; Luchini, G.

doi:10.1088/1751-8113/47/26/265201

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

Baron, H.E.; Zakrzewski, W.J.; Luchini, G.

Authors

H.E. Baron

W.J. Zakrzewski

G. Luchini

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.

Citation

Baron, H., Zakrzewski, W., & 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), Article 265201. https://doi.org/10.1088/1751-8113/47/26/265201

Journal Article Type	Article
Acceptance Date	May 27, 2014
Online Publication Date	Jun 12, 2014
Publication Date	Jul 4, 2014
Deposit Date	Jun 13, 2014
Publicly Available Date	Jun 16, 2014
Journal	Journal of Physics A: Mathematical and Theoretical
Print ISSN	1751-8113
Electronic ISSN	1751-8121
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	47
Issue	26
Article Number	265201
DOI	https://doi.org/10.1088/1751-8113/47/26/265201
Keywords	Soliton, NLS, Collective coordinates.

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Copyright 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.