Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model
H. E. Baron, G. Luchini, W. J. Zakrzewski
TL;DR
This paper introduces a collective coordinate approximation method to model two interacting NLS solitons, demonstrating high accuracy compared to full numerical simulations during both separation and interaction phases.
Contribution
The paper presents a novel collective coordinate approach for NLS soliton interactions, improving understanding of their dynamics with validated accuracy.
Findings
Approximation matches numerical simulations closely
Effective during soliton separation and interaction
Provides a simplified yet accurate modeling tool
Abstract
We present a collective coordinate approximation to model the dynamics of two interacting nonlinear Schr\"odinger (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.
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