Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-26T00:42:08.992Z Has data issue: false hasContentIssue false
  • English
  • Français

Nonlinear regular structures of drift magneto-acoustic waves

Published online by Cambridge University Press:  13 March 2009

G. D. Aburdzhaniya ,
V. P. Lakhin  and
A. B. Mikhailovskii
G. D. Aburdzhaniya
Affiliation:
I. N. Vekua Institute of Applied Mathematics, Tbilisi State University, Tbilisi, U.S.S.R.
V. P. Lakhin
Affiliation:
I. V. Kurchatov Institute of Atomic Energy, Moscow, U.S.S.R.
A. B. Mikhailovskii
Affiliation:
I. V. Kurchatov Institute of Atomic Energy, Moscow, U.S.S.R.
Get access Rights & Permissions [Opens in a new window]

Abstract

Nonlinear regular structures in a magnetized plasma connected with drift magneto-acoustic waves (DMA) are investigated theoretically. Three-dimensional nonlinear equations of weakly dispersive DMA waves are obtained. These equations contain both the scalar nonlinearity and the vector one, and generalize the two-dimensional Kadomtsev–Petviashvili (KP) equation. The existence is shown of regular stationary structures due to the scalar nonlinearity: one-dimensional solitons, two-dimensional rational solitons, chains of solitons and so-called ‘crosses’. The stability of one-dimensional DMA solitons is investigated. It is shown that soliton stability depends on the sign of the wave dispersion as in the case of systems described by the KP-type equation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 3 , December 1987 , pp. 373 - 386
Copyright
Copyright © Cambridge University Press 1987

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Aburdzhaniya, G. D., Lakhin, V. P. & Mikhailovskii, A. B. 1985 Fizika Plasmy, 11, 1262. (Soviet Phys. Plasma Phys.).Google Scholar
Aburdzhaniya, G. D., Lakhin, V. P. & Mikhailovskii, A. B. 1986 Fizika Plasmy, 12, 596 (Soviet Phys. Plasma Phys.).Google Scholar
Aburdzhaniya, G. D., Mikhailovskii, A. B. & Sharapov, S. E. 1984 Phys. Lett. 104A, 94.Google Scholar
Antipov, S. V., Nezlin, M. N., Snezhkin, E. N. & Trubnikov, A. S. 1982 Zh. Eksp. Teor. Fiz. 82, 145 (Soviet Phys. JETP).Google Scholar
Aref'ev, V. I., Gordeev, A. V. & Rudakov, L. I. 1969 Plasma Phys. Contr. Nucl. Fus. Res., vol. 11, p. 165. IAEA, Vienna.Google Scholar
Davidson, R. C. & Krall, N. A. 1977 Nucl. Fusion, 17, 1313.CrossRefGoogle Scholar
Filippov, D. V., Chernov, A. A. & Yan'kov, V. V. 1983 IAE-3838/6.Google Scholar
Goeldbloed, I. P., Pyatak, A. I. & Sizonenko, V. L. 1973 Zh. Eksp. Teor. Fiz. 64, 2084 (Soviet Phys. JETP).Google Scholar
Huba, J. D., Gladd, N. T. & Papadopoulos, K. 1978 J. Geophys. Res. 83, 5217.CrossRefGoogle Scholar
Kadomtsev, B. B. & Petviashvili, V. I. 1970 Dokl. Akad. Nauk SSSR, 192, 753 (Soviet Phys. Dokl.).Google Scholar
Lakhin, V. P., Mikhailovskii, A. B. & Novakovskii, S. V. 1986 Fizika. Plasmy, 12, 566 (Soviet Phys. Plasma Phys.).Google Scholar
Lifshitz, E. M. & Pitaevskii, L. P. M. 1979 Physical Kinetics, p. 191. Nauka.Google Scholar
Manakov, S. V. et al. 1977 Phys. Lett. 63A, 205.CrossRefGoogle Scholar
Mikhailovskii, A. B. 1972 Reviews of Plasma Physics (ed. Leontovich, M. A.), vol. 6, p. 70. Atomizdat.Google Scholar
Mikhailovskii, A. B. 1977 Theory of Plasma Instabilities, vol. 2, pp. 93, 95. Atomizdat.Google Scholar
Mikhailovskii, A. B., Aburdzhaniya, G. D., Onishchenko, O. G. & Sharapov, S. E. 1984 a Phys. Lett. 104A, 94.CrossRefGoogle Scholar
Mikhailovskii, A. B., Aburdzhaniya, G. D., Onishchenko, O. G. & Smolyakov, A. I. 1985 a Zh. Eksp. Teor. Fiz. 8, 482 (Soviet Phys. JETP).Google Scholar
Mikhailovskii, A. B., Lakhin, V. P. & Mikhailovskaya, L. A. 1984 b Zh. Eksp. Teor. Fiz. 87, 1221 (Soviet Phys. JETP).Google Scholar
Mikhailovskii, A. B., Lakhin, V. P., Onishchenko, O. G. & Smolyakov, A. I. 1985 b Zh. Eksp. Teor. Fiz. 88, 798 (Soviet Phys. JETP).Google Scholar
Mikhailovskii, A. B. & Tsypin, V. S. 1966 Pis'ma Zh. Eksp. Teor. Fiz. 3, 247 (Soviet Phys. JETP Lett.).Google Scholar
Sagdeev, R. Z. 1958 Plasma Physics and the Problems of Controlled Thermonuclear Reactions, vol. 4, p. 384. Academy of Sciences of USSR.Google Scholar
Vladimirov, V. V. 1965 Dokl. Akad. Nauk SSSR, 162, 785.Google Scholar
Zaitsev, A. A. 1983 Dokl. Akad. Nauk SSSR, 272, 583.Google Scholar
Zhdanov, S. K. & Trubnikov, B. A. 1984 Pis'ma Zh. Eksp. Teor. Fiz., 39, 110 (Soviet Phys. JETP Lett.).Google Scholar