NONLINEARITY-DEFECT INTERACTION: SYMMETRY BREAKING BIFURCATION IN A NLS WITH A b′ IMPURITY
Аннотация:
We illustrate some new results and comment on perspectives of a recent research line, focused on the stability of stationary states of nonlinear NLS with point interactions. We describe in detail the case of a “b′” interaction, that provides a rich model endowed with a pitchfork bifurcation with symmetry breaking in the family of ground states. Finally, we give a direct proof of the stability of the ground states in the cases of a subcritical and critical (in the sense of the blow-up) nonlinearity power.
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