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A modified Korteweg-de Vries equation for ion acoustic wavess due to resonant electrons

Published online by Cambridge University Press:  13 March 2009

Hans Schamel
Hans Schamel
Affiliation:
Max-Planck-Institut für Physik and Astrophysik, Munich
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Abstract

The dependence of the asymptotic behaviour of small ion-acoustic waves on the number of resonant electrons is investigated by assuming an electron equation of state corresponding to the observed flat-topped electron distribution functions. The result is a modified Korteweg-de Vries equation with a stronger nonlinearity.

Type
Research Article
Information
Journal of Plasma Physics , Volume 9 , Issue 3 , June 1973 , pp. 377 - 387
Copyright
Copyright © Cambridge University Press 1973

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References

REFERENCES

Alikhanov, S. G., Belan, V. G., Kichigin, G. N. & Chebotaev, P. Z. 1971 Soviet Phys. JETP, 33, 532.Google Scholar
Berezin, Yu. A. 1968 Soviet. Phys. Techn. Phys. 13, 16.Google Scholar
Berezin, Yu. A. & Karpman, V. I. 1964 Soviety Phys. JETP, 19, 1265.Google Scholar
Berezin, Yu. A. & Karpman, V. I. 1967 Soviet Phys. JETP, 24, 1049.Google Scholar
Dewar, R. L., Kruer, W. L. & Manheimer, W. M. 1972 Phys. Rev. Lett. 28, 215.CrossRefGoogle Scholar
Forslund, D. W. & Shonk, C. R. 1970 Phys. Rev. Lett. 25, 1699.CrossRefGoogle Scholar
Forslund, D. W. & Freidberg, J. P. 1971 Phys. Rev. Lett. 27, 1189.CrossRefGoogle Scholar
Gardner, C. S. & Morikawa, G. K. 1960 Courant Inst. of Math. Sci. Rep. NJO 9082.Google Scholar
Gardner, C. S. & Morikawa, G. K. 1965 Comm. Pure. Appl. Math. 18, 35.CrossRefGoogle Scholar
Gardner, C. S. & Su, C. H. 1966 Princeton University Plasma Physics Laboratory Annual Rep. MATT-Q-24, p. 239.Google Scholar
Honzawa, T. 1972 Phys. Lett. 38 A, 318.CrossRefGoogle Scholar
Ikezi, H., Barrett, P. J., White, R. B. & Wong, A. Y. 1971 Phys. Fluids, 14, 1997.CrossRefGoogle Scholar
Ikezi, H., Taylor, R. J. & Baker, D. R. 1970 Phys. Rev. Lett. 25, 11.CrossRefGoogle Scholar
Johnson, R. S. 1972 J. Fluid Mech. 54, 81.CrossRefGoogle Scholar
Kadomtsev, B. B. & Karpman, V. I. 1971 Soviet Phys. Usp. 14, 40.CrossRefGoogle Scholar
Kato, Y., Tajiri, M. & Taniuti, T. 1972 Phys. Fluids, 15, 865.CrossRefGoogle Scholar
Keller, J. B. 1948 Comm. Pure Appl. Math. 1, 323.CrossRefGoogle Scholar
Kever, H. & Morikawa, G. K. 1969 Phys. Fluids, 12, 2090.CrossRefGoogle Scholar
Korteweg, D. J. & De Vries, G. 1895 Phil. Mag. (5) 39, 422.CrossRefGoogle Scholar
Kruer, W. L., Katz, J., Byers, J. & De Groot, O. 1972 Phys. Fluids, 15, 1613.CrossRefGoogle Scholar
Kruskal, N. D. & Zabusky, N. J. 1964 J. Math. Phys. 5, 231.CrossRefGoogle Scholar
Manheimer, W. A. 1969 Phys. Fluids, 12, 2426.CrossRefGoogle Scholar
Mason, R. J. 1972 a Phys. Fluids, 15, 845.CrossRefGoogle Scholar
Mason, R. J. 1972 b Phys. Fluids, 15, 1162.CrossRefGoogle Scholar
Miura, R. M., Gardner, C. S. & Kruskal, M. D. 1968 J. Math. Phys. 9, 1204.CrossRefGoogle Scholar
Montgomery, M. D., Asbridge, J. R. & Bame, S. J. 1970 J. Geophys. Res. 75, 1217.CrossRefGoogle Scholar
Morse, R. L. & Nielson, C. W. 1969 Phys. Rev. Lett. 23, 1087.CrossRefGoogle Scholar
Morse, R. L. & Nielson, C. W. 1971 Phys. Rev. Lett. 26, 3.CrossRefGoogle Scholar
Morton, K. W. 1964 Phys. Fluids, 7, 1800.CrossRefGoogle Scholar
Sagdeev, R. Z. 1966 Rev. Plasma Phys. 4, 23.Google Scholar
Sugihara, R. & Kamimura, T. 1972 Institute of Plasma Physics, Nagoya University, Japan, Rep. IPPJ-116.Google Scholar
Schamel, H. 1972 Plasma Phys. 14, 905.CrossRefGoogle Scholar
Tappert, F. & Varma, C. M. 1970 Phys. Rep. Lett. 25, 1108.CrossRefGoogle Scholar
Tappert, F. & Zabusky, N. J. 1971 Phys. Rev. Lett. 27, 1774.CrossRefGoogle Scholar
Vliegenthart, A. C. 1971 J. Eng. Math. 5, 137CrossRefGoogle Scholar
Washimi, H. & Taniuti, T. 1966 Phys. Rev. Lett. 17, 996.CrossRefGoogle Scholar
Wijngaarden, L. Van 1968 J. Fluid Mech. 33, 465.CrossRefGoogle Scholar
Zakharov, V. E. 1964 Zh. Prik. Mekh. Tekh. Fiz. 3, 167.Google Scholar
Zabusky, N. J. 1968 Phys. Rev. 168, 124.CrossRefGoogle Scholar
Zabusky, N. J. & Kruskal, M. D. 1965 Phys. Rev. Lett. 15, 240.CrossRefGoogle Scholar