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

Abstract

We present a collective coordinate approximation to model the dynamics of two interacting nonlinear Schrödinger (NLS) solitons. We discuss the accuracy of this approximation by comparing our results to those of the full numerical simulations and find that it is remarkably accurate not only when the solitons are some distance apart but also during their interaction.

References in corpus (3)

• Exact solutions to the focusing nonlinear Schrodinger equation
• The concept of quasi-integrability for modified non-linear Schrodinger models
• Variational approximation and the use of collective coordinates

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• Normal mode oscillations of a nonlocal composite matter wave soliton
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