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

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

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.
• Public URL: https://durham-repository.worktribe.com/output/1428284