BIRS Workshop Lecture Videos
On stability properties of the cubic-quintic Schrödinger equation with a Dirac potential Hernandez Melo, Cesar Adolfo
In this talk, we show some results on the existence and orbital stability of the peak-standing-wave solutions for the cubic-quintic nonlinear Schr\"odinger equation with a point interaction. Via a perturbation method and continuation argument, we obtain stability results in the case of attractive-attractive and attractive-repulsive nonlinearities. In the case of an attractive-attractive case and an focusing interaction we give an complete approach for stability based in the extension theory of symmetric operators.
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