Resonant radiation shed by dispersive shock waves

Matteo Conforti (1) , Fabio Baronio (2) , Stefano Trillo (3)

1 PhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523
2 Department of Information Engineering [Brescia]
3 Engineering Department [Ferrara]

We analyze resonant radiation emitted by dispersive shock waves owing to higher-order dispersive corrections of the leading term in the defocusing nonlinear Schrödinger equation. We give criteria for calculating the radiated frequency based on an analytical estimate of the shock velocity and reveal a diversity of scenarios controllable via the corrections, ranging from the radiation-induced transition of the dispersive shock into a classical-type shock to the qualitative modification of the underlying gradient catastrophe or the competition between different breaking mechanisms.

Domaines: Formation de Structures et Solitons [nlin.PS]; Optique [physics.optics]

Matteo Conforti, Fabio Baronio, Stefano Trillo. Resonant radiation shed by dispersive shock waves. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2014, 89 (1), ⟨10.1103/PhysRevA.89.013807⟩. ⟨hal-02393941⟩