Radiation and vortex dynamics in the nonlinear Schrödinger equation.
Sound emission produced by the interaction of several vortices in a two-dimensional homogeneous system obeying the nonlinear Schrödinger (NLS) equation is considered. The radiation effect is explicitly computed in terms of assumed vortex motion. The results are applied to a simple test case of two corotating vortices. The prediction is compared to the result of numerical simulations of the NLS equation. The numerical data give support to the estimate of radiation.
Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, CNRS and Universités Paris VI et VII, 24 Rue Lhomond, 75231 Paris, France.
Giorgio
G
Krstulovic
Marc
M
Brachet
Enrique
E
Tirapegui