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A generalized nonlinear Schr\'odinger equation as model for turbulence, collapse, and inverse cascade
- Publication Year :
- 2011
-
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.<br />Comment: 12 pages, 5 figures
- Subjects :
- Physics - Plasma Physics
Mathematical Physics
Physics - Fluid Dynamics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1101.3040
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.83.036405