Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model
H E BaronDepartment of Mathematical Sciences, Durham University, Durham DH1 3LE, UKG LuchiniDepartamento de Ciências Naturais, Universidade Federal do Espírito Santo, CEP 29932-540, São Mateus-ES, BrazilW J ZakrzewskiDepartment of Mathematical Sciences, Durham University, Durham DH1 3LE, UK
2014en
ABI
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.
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