Damped nonlinear Schrödinger equation
- 1 October 1976
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 19 (10), 1621-1625
- https://doi.org/10.1063/1.861368
Abstract
High frequency electrostatic plasma oscillations described by the nonlinear Schrödinger equation in the presence of damping, collisional or Landau, are considered. At early times, Landau damping of an initial soliton profile results in a broader, but smaller amplitude soliton, while collisional damping reduces the soliton size everywhere; soliton speeds at early times are unchanged by either kind of damping. For collisional damping, soliton speeds are unchanged for all time.Keywords
This publication has 38 references indexed in Scilit:
- Theory of Envelope ShockPhysical Review Letters, 1975
- Electron Heating and Landau Damping in Intense Localized Electric FieldsPhysical Review Letters, 1975
- Upper-Hybrid SolitonsPhysica Scripta, 1975
- On the Dynamics of Sonic-Langmuir SolitonsPhysica Scripta, 1975
- Nonlinear Penetration of a Langmuir Wave into a Plasma Density GradientPhysica Scripta, 1975
- Stability of filamentary structuresPhysics of Fluids, 1974
- On equations for the coefficient functions of the S matrix in quantum field theoryTheoretical and Mathematical Physics, 1974
- A theory of the amplitude modulation of quasi-monochromatic nonlinear plasma wavesJournal of Plasma Physics, 1973
- Damping of Solitary WavesPhysics of Fluids, 1970
- Nonlinear Theory of Ion Acoustic Waves with Landau DampingPhysics of Fluids, 1969