Prog. Theor. Phys. Vol. 50 No. 3 (1973) pp. 814-829
Nonlinear Wave Propagation of Cyclotron Waves in Collisionless Plasmas
Department of Physics and Atomic Energy Research Institute, College of Science and Engineering, Nihon University, Tokyo
(Received March 15, 1973)
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.
DOI : 10.1143/PTP.50.814
- Y. H. Ichikawa, T. Suzuki and B. D. Fried, “Theory of Amplitude Modulation of Quasi-Monochromatic Nonlinear Plasma Wave”, Nihon University, preprint UNP-A-72-16.
Y. H. Ichikawa and T. Taniuti, J. Phys. Soc. Jpn. 34 (1973), 513[JPSJ].
M. Kako, J. Phys. Soc. Jpn. 33 (1972), 1678[JPSJ].
M. Kako, T. Taniuti, Y. Furutani and Y. H. Ichikawa, J. Phys. Soc. Jpn. 35 (1973), 1526[JPSJ].
Y. H. Ichikawa, T. Suzuki and T. Taniuti, J. Phys. Soc. Jpn. 34 (1973), 1089[JPSJ].
Citing Article(s) :
Progress of Theoretical Physics Supplement No.55 (1974) pp. 212-232
C. Nonlinear Wave Modulation of Electrostatic Waves
Yoshi H. Ichikawa
Progress of Theoretical Physics Supplement No.55 (1974) pp. 233-246
D. Nonlinear Wave Modulation in Magnetized Collisionless Plasmas
Yoshi H. Ichikawa and Masashi Kako