A generalized nonlinear Schrödinger equation as model for turbulence, collapse, and inverse cascade
arXiv:1101.3040 · doi:10.1103/PhysRevE.83.036405
Abstract
A two-dimensional generalized cubic nonlinear Schrödinger equation with complex coefficients for the group dispersion and nonlinear terms is used to investigate the evolution of a finite-amplitude localized initial perturbation. It is found that modulation of the latter can lead to side-band formation, wave condensation, collapse, turbulence, and inverse cascade, although not all together nor in that order.
12 pages, 5 figures