Article ID Journal Published Year Pages File Type
5500384 Physica D: Nonlinear Phenomena 2016 16 Pages PDF
Abstract
In this paper it is demonstrated how rigorous numerics may be applied to the one-dimensional nonlinear Schrödinger equation (NLS); specifically, to determining bound-state solutions and establishing certain spectral properties of the linearization. Since the results are rigorous, they can be used to complete a recent analytical proof (Beauchard et al., 2015) of the local exact controllability of NLS.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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