Non-linear theory of hydromagnetic waves in a high β plasma
- 1 October 1971
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Plasma Physics
- Vol. 6 (2) , 401-412
- https://doi.org/10.1017/s0022377800006139
Abstract
A non-linear integro-differential equation is derived, governing the space time evolution of non-linear hydromagnetic waves in a finite β collisionless plasma. The theory is done for quasi-perpendicular propagation, for wave frequencies above ion cyclotron frequency, and wavelengths smaller than ion Larmor radius. In the low β limit, the derived equation reduces to a Korteweg de Vries equation.Keywords
This publication has 11 references indexed in Scilit:
- Formation of Discontinuities by Nonlinear Interaction of Low-Frequency Electromagnetic and Ion Sound WavesPhysical Review Letters, 1970
- Measurement of Spectrum of Turbulence Within a Collisionless Shock by Collective Scattering of LightPhysical Review Letters, 1970
- Korteweg-de Vries Equation for Nonlinear Hydromagnetic Waves in a Warm Collision-Free PlasmaPhysics of Fluids, 1969
- Solitary Waves in a Warm Collision-Free PlasmaPhysics of Fluids, 1969
- Observation of collisionless plasma heating by strong shock wavesThe European Physical Journal A, 1969
- Propagation of Ion-Acoustic Solitary Waves of Small AmplitudePhysical Review Letters, 1966
- Steady, Oblique, Nonlinear Waves in a Warm Collision-Free PlasmaPhysics of Fluids, 1966
- The structure of strong collision-free hydromagnetic wavesPhilosophical Magazine, 1958
- The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisionsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1956
- XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wavesJournal of Computers in Education, 1895