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Prog. Theor. Phys. Vol. 50 No. 3 (1973) pp. 814-829
Nonlinear Wave Propagation of Cyclotron Waves in Collisionless Plasmas
Takehiko Suzuki and
Yoshi H. Ichikawa
Department of Physics and Atomic Energy Research Institute, College of Science and Engineering, Nihon University, Tokyo
(Received March 15, 1973)
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.
URL :
http://ptp.ipap.jp/link?PTP/50/814/
DOI : 10.1143/PTP.50.814
References:
- 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.
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Y. H. Ichikawa and T. Taniuti, J. Phys. Soc. Jpn. 34 (1973), 513[JPSJ].
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M. Kako, J. Phys. Soc. Jpn. 33 (1972), 1678[JPSJ].
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M. Kako, T. Taniuti, Y. Furutani and Y. H. Ichikawa, J. Phys. Soc. Jpn. 35 (1973), 1526[JPSJ].
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Y. H. Ichikawa, T. Suzuki and T. Taniuti, J. Phys. Soc. Jpn. 34 (1973), 1089[JPSJ].
Citing Article(s) :
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Progress of Theoretical Physics Supplement No.55 (1974) pp. 212-232
:
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C. Nonlinear Wave Modulation of Electrostatic Waves
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Yoshi H. Ichikawa
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Progress of Theoretical Physics Supplement No.55 (1974) pp. 233-246
:
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D. Nonlinear Wave Modulation in Magnetized Collisionless Plasmas
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Yoshi H. Ichikawa and Masashi Kako