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arXiv · 0705.4073

Quasi-linear dynamics in nonlinear Schr\" odinger equation with periodic boundary conditions

M. Burak Erdogan·Vadim Zharnitsky
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Abstract

It is shown that a large subset of initial data with finite energy ($L^2$ norm)evolves nearly linearly in nonlinear Schr\" odinger equation with periodic boundary conditions. These new solutions are not perturbations of the known ones such as solitons, semiclassical or weakly linear solutions.

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M. Burak Erdogan, Vadim Zharnitsky. 2008-02-15. Quasi-linear dynamics in nonlinear Schr\" odinger equation with periodic boundary conditions. https://arxiv.org/abs/0705.4073

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