Nonlinear Stability of Envelope Solitons
- 25 December 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 41 (26) , 1798-1801
- https://doi.org/10.1103/physrevlett.41.1798
Abstract
The instability of plane envelope Langmuir solitons subject to transverse perturbations is reconsidered for the cubic nonlinear Schrödinger equation as well as the coupled set of high- and low-frequency equations in the case of nonadiabatic ion response. The nonlinear investigation demonstrates instability with a cutoff in all cases and predicts a drastic lowering of the instability growth rates when nonadiabatic ion motion is allowed for. Our analytical results agree with recent numerical computations.Keywords
This publication has 11 references indexed in Scilit:
- Virial Theory of Direct Langmuir CollapsePhysical Review Letters, 1978
- Stability of a plane soliton to infinitesimal two-dimensional perturbationsPhysics of Fluids, 1978
- Dynamics of classical solitons (in non-integrable systems)Physics Reports, 1978
- Numerical study of two-dimensional generation and collapse of Langmuir solitonsPhysics of Fluids, 1977
- Stability of solitons to transverse perturbationsPlasma Physics, 1977
- Some properties of deep water solitonsPhysics of Fluids, 1976
- Spatial Collapse of Beam-Driven Plasma WavesPhysical Review Letters, 1975
- Stability of Envelope SolitonsPhysical Review Letters, 1975
- Stability of Envelope SolitonProgress of Theoretical Physics, 1974
- The stability of solitary wavesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1972