Alfvén soliton in a low-beta plasma

P. K. Shukla; H. U. Rahman; R. P. Sharma

doi:10.1017/S002237780000012X

Abstract

An exact nonlinear Alfvén wave in a low-β plasma is investigated. Super Alfvén solitons with a density depression are found to exist. The analytical result for the small-amplitude soliton is given.

References

REFERENCES

Davidson, R. C. 1972 Methods in Nonlinear Plasma Theory, ch. 2. Academic.Google Scholar

Hasegawa, A. & Mima, K. 1976 Phys. Rev. Lett. 37, 690.CrossRef Google Scholar

Ichimaru, S. 1973 Basic Principles of Plasma Physics: A Statistical Approach, p. 186. Benjamin.Google Scholar

Lashmore-Davies, C. N. & May, R. M. 1972 Phys. Fluids, 15, 1616.CrossRef Google Scholar

Lysak, R. L. & Carlson, C. W. 1981 Geophys. Res. Lett. 8, 269.CrossRef Google Scholar

Petviashvili, V. I. & Pokhotelov, O. A. 1977 Soviet Phys. JETP, 46, 260.Google Scholar

Sheerin, J. P. & Ong, R. S. B. 1980 J. Plasma Phys. 24, 157.CrossRef Google Scholar

Stefant, R. A. 1970 Phys. Fluids, 13, 440.CrossRef Google Scholar

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Shukla, P. K. and Yu, M. Y. 1984. Pseudo-three-dimensional convective cell motion in a magnetized plasma. Journal of Plasma Physics, Vol. 31, Issue. 2, p. 231.

Kalita, M. K. and Kalita, B. C. 1986. Finite-amplitude solitary Alfvén waves in a low-beta plasma. Journal of Plasma Physics, Vol. 35, Issue. 2, p. 267.

Das, K. P. Kamp, L. P. J. and Sluijter, F. W. 1989. Three-dimensional stability of solitary shear kinetic Alfvén waves in a low-beta plasma. Journal of Plasma Physics, Vol. 41, Issue. 1, p. 171.

Frycz, P. Rankin, R. and Samson, J. C. 1992. Stability of electron inertia Alfvén solitons. Journal of Plasma Physics, Vol. 48, Issue. 2, p. 335.

Ghosh, G and Das, K P 1993. Higher order nonlinear and dispersive effects on a shear kinetic Alfvén wave in a low-beta plasma. Physica Scripta, Vol. 47, Issue. 6, p. 807.

Ghosh, G. and Das, K. P. 1994. Three-dimensional stability of solitary kinetic Alfvé waves and ion-acoustic waves. Journal of Plasma Physics, Vol. 51, Issue. 1, p. 95.

Ghosh, G and Das, K P 1995. Higher order nonlinear and dispersive effects for kinetic Alfvén waves and ion-acoustic waves. Physica Scripta, Vol. 52, Issue. 1, p. 80.

Wu, De-Jin Wang, De-Yu and Fälthammar, Carl-Gunne 1995. An analytical solution of finite-amplitude solitary kinetic Alfvén waves. Physics of Plasmas, Vol. 2, Issue. 12, p. 4476.

Shukla, P K and Stenflo, L 1995. Nonlinear Alfvén waves. Physica Scripta, Vol. T60, Issue. , p. 32.

Wu, D. J. Huang, G. L. and Wang, D. Y. 1996. Dipole Density Solitons and Solitary Dipole Vortices in an Inhomogeneous Space Plasma. Physical Review Letters, Vol. 77, Issue. 21, p. 4346.

Kalita, B. C. and Devi, N. 1996. Kinetic Alfvén solitons in a low-β plasma under the influence of electron drift motion. Journal of Plasma Physics, Vol. 56, Issue. 1, p. 35.

Wu, De-Jin and Wang, De-Yu 1996. Solitary kinetic Alfvén waves on the ion-acoustic velocity branch in a low-β plasma. Physics of Plasmas, Vol. 3, Issue. 12, p. 4304.

Wang, De Yu Huang, Guang Li F�lthammar, C. -G. Lindqvist, P. A. Blomberg, L. and Song, Li Ting 1996. Nonlinear kinetic Alfv�n wave with Poisson equation correction in the low aurora. Astrophysics and Space Science, Vol. 240, Issue. 2, p. 175.

Wu, De-jin Wang, De-yu and Fälthammar, Carl-Gunne 1996. Coupling Alfvénic and Ion-Acoustic Solitons. Chinese Physics Letters, Vol. 13, Issue. 8, p. 594.

Wu, De-Jin Huang, Guang-Li Wang, De-Yu and Fälthammar, Carl-Gunne 1996. Solitary kinetic Alfvén waves in the two-fluid model. Physics of Plasmas, Vol. 3, Issue. 8, p. 2879.

1997. Cavity resonators and Alfvén resonance cones observed on Freja. Journal of Geophysical Research: Space Physics, Vol. 102, Issue. A2, p. 2565.

Huang, Guang‐Li Wang, De‐Yu Wu, De‐Jin de Féraudy, H. Le Quéau, D. Volwerk, M. and Holback, Bengt 1997. The eigenmode of solitary kinetic Alfvén waves observed by Freja satellite. Journal of Geophysical Research: Space Physics, Vol. 102, Issue. A4, p. 7217.

Wu, D. J. Wang, D. Y. and Huang, G. L. 1997. Two-dimensional solitary kinetic Alfvén waves and dipole vortex structures. Physics of Plasmas, Vol. 4, Issue. 3, p. 611.

Wang, Xu-yu Wang, Xue-yi Liu, Zhen-xing and Li, Zhong-yuan 1998. Solitary kinetic Alfvén waves with finite ion gyroradius. Physics of Plasmas, Vol. 5, Issue. 9, p. 3477.

Roychoudhury, Rajkumar and Chatterjee, Prasanta 1998. Effect of finite ion temperature on large-amplitude solitary kinetic Alfvén waves. Physics of Plasmas, Vol. 5, Issue. 11, p. 3828.

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Alfvén soliton in a low-beta plasma

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Alfvén soliton in a low-beta plasma

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