Mechanism of wave breaking from a vacuum point in the defocusing nonlinear Schrödinger equation
Mechanism of wave breaking from a vacuum point in the defocusing nonlinear Schrödinger equation
We study the wave breaking mechanism for the weakly dispersive defocusing nonlinear Schrödinger equation with a constant phase dark initial datum that contains a vacuum point at the origin. We prove by means of the exact solution to the initial value problem that, in the dispersionless limit, the vacuum point …