Blow-up Conditions for a System of Nonlinear Schrödinger Equations
Seminar Room 1, Newton Institute
We are considering a system of two coupled Schrödinger equations with focusing and defocusing nonlinearities. In this context we observe collapse of only one or of both components, respectively, depending on the strength of the nonlinearities. We deal with some conditions for the blow-up. Finallly, we present some numerical simulation results.