On the blow-up threshold for weakly coupled nonlinear Schrödinger equations
نویسنده
چکیده
We study the Cauchy problem for a system of two coupled nonlinear focusing Schrödinger 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. 2000 Mathematics Subject Classification: 35Q55, 35Q60.
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تاریخ انتشار 2008