Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-30T17:12:46.928Z Has data issue: false hasContentIssue false
  • English
  • Français

On the higher-order corrections to the ion-acoustic cnoidal waves in a relativistic plasma with cold ions and two-temperature electrons

Published online by Cambridge University Press:  13 March 2009

A. Roy Chowdhury ,
G. Pakira  and
S. N. Paul
A. Roy Chowdhury
Affiliation:
High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta-700 032, India
G. Pakira
Affiliation:
High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta-700 032, India
S. N. Paul
Affiliation:
Serampore Girls College, Serampore, Hooghly, IndiaPin-712201
Get access Rights & Permissions [Opens in a new window]

Abstract

We have considered the effect due to the presence of two-temperature electrons on the formation and propagation of cnoidal waves in a weak relativistic plasma. Since the cnoidal wave is equivalent to an infinite series of solitary waves, it is worthy of study for the situation where more than one solitary wave is important. The phase velocity of the modulated periodic wave is plotted as a function of the amplitude. The form of the wave for small values of ellipticity of the cnoidal wave shows up as a series of harmonics. Such cnoidal excitations are important in determining the anomalous transport coefficients of a plasma.

Type
Research Article
Information
Journal of Plasma Physics , Volume 41 , Issue 3 , June 1989 , pp. 447 - 456
Copyright
Copyright © Cambridge University Press 1989

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

Bhattacharyya, B. 1983 Phys. Rev. A 27, 568.CrossRefGoogle Scholar
Boyd, T. J. M. 1976 SIAM J. Appl. Maths, 23, 33.Google Scholar
Bujurbarua, S. 1979 Phys. Lett. 75 A, 293.CrossRefGoogle Scholar
Chakraborty, B., Paul, S. N., Khan, M. R. & Bhattacharya, B. 1984 Phys. Rep. 114, 181.CrossRefGoogle Scholar
Das, G. C. & Paul, S. N. 1985 Phys. Fluids, 28, 823.CrossRefGoogle Scholar
Das, G. C., Paul, S. N. & Karmakar, B. 1986 Phys. Fluids, 29, 2192.CrossRefGoogle Scholar
Gardner, C. S. & Morikawa, G. M. 1982 Courant Institute of Mathematics Scientific Report NYO-9082.Google Scholar
Geiss, J., Balsiger, H., Eberhardt, P., Walker, H. P., Weber, L., Young, D. T. & Rosenbaufer, W. 1978 Space Sci. Rev. 22, 53.CrossRefGoogle Scholar
Goswami, B. N. & Buti, B. 1976 Phys. Lett. 57 A, 149.CrossRefGoogle Scholar
Ichikawa, Y. H. 1978 Topics on Solitons in Plasma (Preprint Institute of Plasma Physics, IPPJ–345).Google Scholar
Ichikawa, Y. H., Mitsuhashi, T. & Kono, K. 1976 J. Phys. Soc. Jpn, 41, 1382.CrossRefGoogle Scholar
Ikezi, H. 1973 Phys. Fluids, 16, 1668.CrossRefGoogle Scholar
Ikezi, H. 1978 Solitons in Action (ed. Lonngren, K. E. and Scott, A. C.). Academic.Google Scholar
Ikezi, H., Taylor, R. J. & Baker, D. R. 1970 Phys. Rev. Lett. 25, 11.CrossRefGoogle Scholar
John, R. I. & Saxena, Y. C. 1976 Phys. Lett. 56 A, 355.CrossRefGoogle Scholar
Jones, W. D., Lee, A., Gleeman, S. M. & Doucet, H. J. 1975 Phys. Rev. Lett. 35, 1349.CrossRefGoogle Scholar
Kakutani, X., Kawahara, Y. & Taniuti, T. 1967 J. Phys. Soc. Jpn, 23, 1138.CrossRefGoogle Scholar
Kalita, M. K. & Bujurbarua, S. 1982 Can. J. Phys. 60, 392.CrossRefGoogle Scholar
Kaw, P. & Dawson, J. 1970 Phys. Fluids, 13, 472.CrossRefGoogle Scholar
Kodama, K. & Taniuti, T. 1978 J. Phys. Soc. Jpn, 45, 298.CrossRefGoogle Scholar
Kono, K., Mitsuhashi, T. & Ichikawa, Y. H. 1979 J. Phys. Soc. Jpn, 46, 1907.CrossRefGoogle Scholar
Krohin, O. N. & Tsybonko, S. P. 1981 Soviet Phys. Lebedev Inst. Rep. no. 5, p. 26.Google Scholar
Lai, C. S. 1979 Can. J. Phys. 57, 490.CrossRefGoogle Scholar
Lonngren, K. E. 1983 Plasma Phys. 25, 943.CrossRefGoogle Scholar
Morales, G. J. & Lee, Y. C. 1974 Phys. Rev. Lett. 33, 1934.Google Scholar
Murthy, P. N., Tagare, S. G. & Abrol, P. S. 1984 Can. J. Phys. 62, 45.CrossRefGoogle Scholar
Nakamura, Y. 1982 IEEE Trans. Plasma Sci. 10, 180.CrossRefGoogle Scholar
Nejoh, Y. 1987 a J. Plasma Phys. 37, 487.CrossRefGoogle Scholar
Nejoh, Y. 1987 b Phys. Lett. 123 A, 245.CrossRefGoogle Scholar
Oleson, N. L. & Found, C. G. 1949 J. Appl. Phys. 20, 416.CrossRefGoogle Scholar
Patraya, A. D. & Chagelishvitti, G. D. 1977 Soviet J. Plasma Phys. 3, 736.Google Scholar
Roychowdhury, A., Pakira, G. & Paul, S. N. 1988 Physica C151, 518.Google Scholar
Roychowdhury, R. K. & Bhattacharyya, S. 1987 Phys. Fluids, 30, 2582.CrossRefGoogle Scholar
Schamel, H. 1973 J. Plasma Phys. 7, 377.CrossRefGoogle Scholar
Sharma, S. N., Kalita, M. K. & Bujurbarua, S. 1986 Beitr. Plasma Phys. 26, 367.CrossRefGoogle Scholar
Shukla, P. K., Rao, N. N., Yu, Y. Y. & Tsintsadze, N. L. 1987 Phys. Rep. 138, 1.CrossRefGoogle Scholar
Spielman, R. B., De Groot, J. S. & Rasmussen, D. A. 1976 J. Appl. Phys. 47, 1909.CrossRefGoogle Scholar
Stenflo, L. & Tsintsadze, N. L. 1979 Astrophys. Space Sci. 64, 513.CrossRefGoogle Scholar
Tagare, S. G. 1973 Plasma Phys. 15, 1243.CrossRefGoogle Scholar
Tagare, S. G. & Reddy, R. V. 1986 J. Plasma Phys. 36, 301.CrossRefGoogle Scholar
Tran, M. Q. 1979 Physica Scripta, 20, 317.CrossRefGoogle Scholar
Washimi, H. & Taniuti, T. 1966 Phys. Rev. Lett. 17, 966.CrossRefGoogle Scholar