Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves
Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves
We propose a novel, analytically tractable, scenario of the rogue wave formation in the framework of the small-dispersion focusing nonlinear Schrödinger (NLS) equation with the initial condition in the form of a rectangular barrier (a 'box'). We use the Whitham modulation theory combined with the nonlinear steepest descent for the …