Stability of Localized Plasma Model in Two and Three Dimensions
- 5 May 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 34 (18), 1160-1163
- https://doi.org/10.1103/physrevlett.34.1160
Abstract
Stability against catastrophic radial collapse is demonstrated for initially well-behaved, localized solutions in a class of two- and three-dimensional wave equations characterized by saturating nonlinearities, which model various electrostatic and electromagnetic "caviton" structures in an asymptotically uniform plasma. This result contrasts sharply with mathematical predictions of equations with low-order nonlinearities. Discrete classes of possible quasistationary modes exhibit features comparable to atomic wave functions and differ qualitatively from one-dimensional structures.Keywords
This publication has 7 references indexed in Scilit:
- Two-Dimensional Stability of Langmuir SolitonsPhysical Review Letters, 1974
- Ponderomotive-Force Effects in a Nonuniform PlasmaPhysical Review Letters, 1974
- Solitons and Resonant AbsorptionPhysical Review Letters, 1974
- Conversion of Electromagnetic Waves to Electrostatic Waves in Inhomogeneous PlasmasPhysical Review Letters, 1974
- Nonlinear Schrödinger-Equation Model of the Oscillating Two-Stream InstabilityPhysical Review Letters, 1974
- Spherical SolitonsPhysical Review Letters, 1974
- Filamentation and trapping of electromagnetic radiation in plasmasPhysics of Fluids, 1973