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arXiv · 0705.0491

On the blow-up threshold for weakly coupled nonlinear Schroedinger equations

Luca Fanelli·Eugenio Montefusco
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Abstract

We study the Cauchy problem for a system of two coupled nonlinear focusing Schroedinger equations arising in nonlinear optics. We discuss when the solutions are global in time or blow-up in finite time. Some results, in dependence of the data of the problem, are proved; in particular we give a bound, depending on the coupling parameter, for the blow-up threshold.

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Luca Fanelli, Eugenio Montefusco. 2007-05-03. On the blow-up threshold for weakly coupled nonlinear Schroedinger equations. https://doi.org/10.1088/1751-8113/40/47/007

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