Nonlinear Wave Propagation of Cyclotron Waves in Collisionless Plasmas
Open Access
- 1 September 1973
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 50 (3) , 814-829
- https://doi.org/10.1143/ptp.50.814
Abstract
A three-dimensional nonlinear Schrödinger equation is derived for cyclotron waves propagating along an external magnetic field in collisionless plasmas on the basis of the Karpman-Krushkal theory of quasi-monochromatic wave propagating in nonlinear-dispersive media. The local-nonlinear coefficient agrees with the one obtained by Kako for the cold plasma, while the nonlocal-nonlinear coefficient is calculated explicitly by taking into account contributions of the resonant particles having the group velocity of the wave.Keywords
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