On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations
arXiv:1404.1159 · doi:10.1088/1751-8113/48/13/135201
Abstract
We apply the method of modulation equations to numerically solve the NLS with multichannel dynamics, given by a trapped localized state and radiation. This approach employs the modulation theory of Soffer-Weinstein, which gives a system of ODE's coupled to the radiation term, which is valid for all times. We comment on the differences of this method from the well-known method of collective coordinates.
16 pages, 9 figures. Added a comparison to collective coordinates scheme that includes a radiation term
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