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arXiv · 1404.1159

On multichannel solutions of nonlinear Schr\"{o}dinger equations: algorithm, analysis and numerical explorations

Avy Soffer·Xiaofei Zhao
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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.

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Avy Soffer, Xiaofei Zhao. 2014-04-04. On multichannel solutions of nonlinear Schr\"{o}dinger equations: algorithm, analysis and numerical explorations. https://doi.org/10.1088/1751-8113%2F48%2F13%2F135201

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