Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-26T13:10:13.944Z Has data issue: false hasContentIssue false

On nonlinear circularly polarized Alfvén waves

Published online by Cambridge University Press:  13 March 2009

G. Mann
Affiliation:
Zentralinstitut für Astrophysik der Akademie der Wissenschaften der DDR, Observatorium für solare Radioastronomie, Tremsdorf, 1501, DDR

Abstract

Finite-amplitude circularly polarized Alfvén waves propagating along the ambient magnetic field are described by a derivative nonlinear Schrödinger-type equation. It leads to stationary, solitary and periodic solutions with phase modulations. The amplitude–width relation for these solitons is shown to be an inequality. The relevance of the results is briefly discussed for particular phenomena in the solar wind.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1988

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

Ghosh, S. & Papadopoulos, K. 1987 Phys. Fluids, 30, 1371.Google Scholar
Hoppe, M. M. & Russell, C. T. 1983 J. Geophys. Res. 88, 2021.Google Scholar
Hoppe, M. M., Russell, C. T., Frank, L. A., Eastman, T. E. & Greenstadt, E. W. 1981 J. Geophys. Res. 86, 4471.Google Scholar
Ichikawa, Y. H., Konno, K., Wadati, M. & Sanuki, H. 1980 J. Phys. Soc. Jpn, 48, 279.Google Scholar
Kaup, D. J. & Newell, A. J. 1978 J. Math. Phys. 19, 798.Google Scholar
Khanna, M. & Rajaram, R. 1982 J. Plasma Phys. 28, 459.Google Scholar
Mio, K., Ogino, T., Minami, K. & Takeda, S. 1976 J. Phys. Soc. Jpn, 41, 265, 667.Google Scholar
Mjølhus, E. 1976 J. Plasma Phys. 16, 321.Google Scholar
Mjølhus, E. & Wyller, J. 1986 Physica Scripta, 33, 442.Google Scholar
Oberhettinger, F. & Magnus, W. 1949 Anwendungen der elliptischen Funktionen in Physik und Technik. Springer.Google Scholar
Rogister, A. 1971 Phys. Fluids, 14, 2733.Google Scholar
Sakai, J.-T. & Sonnerup, B. U. Ö. 1983 J. Geophys. Res. 88, 9069.CrossRefGoogle Scholar
Spangler, S. R. 1985 Astrophys. J. 299, 122.Google Scholar
Spangler, S. R. 1986 Phys. Fluids, 29, 2535.Google Scholar
Spangler, S. R. & Sheerin, J. P. 1981 J. Plasma Phys. 27, 193.Google Scholar
Tsurutani, B. T., Smith, E. J. & Jones, D. E. 1983 J. Geophys. Res. 88, 5645.Google Scholar