Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T13:46:32.138Z Has data issue: false hasContentIssue false

Properties of Alfvén solitons in a finite-beta plasma

Published online by Cambridge University Press:  13 March 2009

Steven R. Spangler
Affiliation:
Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242
James P. Sheerin
Affiliation:
Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242

Extract

The properties of Alfvén solitons are examined (solitons propagating parallel to the magnetic field in a magnetized plasma) in the case when the plasma possesses a finite pressure. Starting from a two-fluid system of equations, the reductive perturbation method is used to derive a derivative nonlinear Schr ödinger equation, which is solved by a pseudo-potential method. An envelope soliton is found which possesses a width –amplitude relationship. The same functional form for the envelope of the magnetic energy density is obtained regardless of the value of the plasma &bgr;.

Type
Articles
Copyright
Copyright © Cambridge University Press 1982

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

Hansen, P. J. & Nicholson, D. R. 1979 Am. J. Phys. 47, 769.CrossRefGoogle Scholar
Kakutani, T., Hiroaki, O., Taniuti, T. & Wei, C. 1968 J. Phys. Soc. Japan, 24, 1159.CrossRefGoogle Scholar
Kingsep, A. S., Rudakov, L. I. & Sudan, R. N. 1973 Phys. Rev. Lett. 31, 1482.CrossRefGoogle Scholar
Mikhailovskii, A. B., Petviashvili, V. I. & Fridman, A. M. 1976 JETP Lett. 24, 53.Google Scholar
Mio, K., Ogino, T., Minami, K. & Takeda, S. 1976 J. Phys. Soc. Japan, 41, 265.CrossRefGoogle Scholar
Mjølhus, E. 1976 J. Plasma Phys. 16, 321.CrossRefGoogle Scholar
Sheerin, J. P. 1980 Ph.D. thesis, University of Michigan.Google Scholar
Sheerin, J. P. & Ong, R. S. B. 1979 Phys. Lett. 73A, 389.CrossRefGoogle Scholar
Sheerin, J. P. & Ong, R. S. B. 1980 a J. Plasma Phys. 24, 157.CrossRefGoogle Scholar
Sheerin, J. P. & Ong, R. S. B. 1980 b Bull. Am. Phys. Soc. 25, 986.Google Scholar