A generalized nonlinear Schrödinger equation as model for turbulence, collapse, and inverse cascade

Details A generalized nonlinear Schrödinger equation as model for turbulence, collapse, and inverse cascade A generalized nonlinear Schrödinger equation as model for turbulence, collapse, and inverse cascade

2011-01-16

arxiv.org/abs/1101.3040v2

Physics

Plasma Physics

12 pages, 5 figures

Scientific paper

A two-dimensional generalized cubic nonlinear Schr\"odinger 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.

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