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Department of Mathematical Sciences

Staff

Publication details for Wojtek Zakrzewski

Baron, H.E., Zakrzewski, W.J. & 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): 265201.

Author(s) from Durham

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.