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arXiv · 1101.3040

A generalized nonlinear Schr\"odinger equation as model for turbulence, collapse, and inverse cascade

Dian Zhao·M. Y. Yu
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Abstract

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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Dian Zhao, M. Y. Yu. 2011-01-16. A generalized nonlinear Schr\"odinger equation as model for turbulence, collapse, and inverse cascade. https://doi.org/10.1103/physreve.83.036405

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