Stability of isotropic self-similar dynamics for scalar-wave collapse
- 1 December 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 46 (12) , 7869-7876
- https://doi.org/10.1103/physreva.46.7869
Abstract
The scalar model for collapse of Langmuir waves in plasmas is studied numerically in two and three dimensions, for both radially symmetric and anisotropic initial conditions. Using a dynamic rescaling method, singular solutions are shown to become isotropic and self-similar near collapse. In two dimensions, the self-similar profile is not universal. In the limit where the mass of the wave tends to its minimal value for collapse, the solution approaches a subsonic regime different from the generic singularity of the nonlinear Schrödinger equation.Keywords
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