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Nonlinear effects in the ELF waves propagating along the magnetic field in the magnetosphere

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Abstract

This paper is a review of nonlinear theory of ELF waves propagating along the magnetic field in the magnetosphere. The following subjects are covered: (1) Main peculiarities of the Quasi-linear Approximation. (2) Nonlinear interaction of monochromatic waves with the resonant particles. (3) Side-band instability. (4) Quasimonochromatic wave packets. (5) Effects due to the inhomogeneity of the medium.

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References

  • Al'tshul, L. M. and Karpman, V. I.: 1965, Zh. Experim. i Teor. Fiz. 49, 515; 1965, Sov. Phys. JETP 22, 361.

    Google Scholar 

  • Ashour-Abdalla, M.: 1972, Planetary Space Sci. 20, 639.

    Google Scholar 

  • Asseo, E., Laval, G., Pellat, R., Welti, R., and Roux, A.: 1972, J. Plasma Phys. 8, 341.

    Google Scholar 

  • Brice, N. M.: 1963, J. Geophys. Res. 68, 4626.

    Google Scholar 

  • Brice, N. M.: 1970, J. Geophys. Res. 75, 4890.

    Google Scholar 

  • Bud'ko, N. I., Karpman, V. I., and Shklyar, D. R.: 1971, Zh. Experim. i Teor. Fiz. 61, 1463; 1972, JETP 34, 778.

    Google Scholar 

  • Bud'ko, N. I., Karpman, V. I., and Pokhotelov, O. A.: 1972, Cosmic Electrodyn. 3, 147.

    Google Scholar 

  • Coroniti, F. V., Fredricks, R. W., Kennel, C. F., and Scarf, F. L.: 1971, J. Geophys. Res. 76, 2366.

    Google Scholar 

  • Davidson, R. C. and Hammer, D. A.: 1972, Phys. Fluids 15, 317.

    Google Scholar 

  • Dowden, R. L.: 1968, J. Geophys. Res. 73, 2995.

    Google Scholar 

  • Drummond, V. A. and Pines, D.: 1962, Nucl. Fusion Suppl., Part III, 1049.

  • Dungey, J. W.: 1961, J. Fluid Mech. 10, 473.

    Google Scholar 

  • Dysthe, K. B.: 1971, J. Geophys. Res. 76, 6915.

    Google Scholar 

  • Erokhin, N. S. and Mazitov, R. K.: 1968, Zh. Prikl. Tekh. Fiz. 5, 11.

    Google Scholar 

  • Feigin, F. Z. and Jakimenko, V. L.: 1969, Geomag. i Aeron. 9, 565.

    Google Scholar 

  • Franklin, R. N., Hamberger, S. M., Ikezi, H., Lampis, G., and Smith, G. J.: 1972, Phys. Rev. Letters 28, 1114.

    Google Scholar 

  • Galeev, A. A. and Sagdeev, R. Z.: 1969, Nonlinear Plasma Theory, Benjamin, N.Y.

    Google Scholar 

  • Gary, S., Montgomery, D., and Swift, D.: 1968, J. Geophys. Res. 73, 7524.

    Google Scholar 

  • Gendrin, R.: 1967, Space Sci. Rev. 7, 314.

    Google Scholar 

  • Gendrin, R.: 1972, in Earth's Magnetospheric Prosesses, p. 311.

  • Gendrin, R., Lacourly, S., Roux, A., Solomon, J., Feigin, F. Z., Gokhberg, M. B., Troitskaya, V. A., and Lakimenko, V. L.: 1971, Planetary Space Sci. 19, 165.

    Google Scholar 

  • Gokhberg, M. B., Karpman, V.I., and Pokhotelov, O. A.: 1972, Dok. Akad. Nauk, U.S.S.R. 204, 848.

    Google Scholar 

  • Helliwell, R. A.: 1967, J. Geophys. Res. 72, 4773.

    Google Scholar 

  • Hess, W. N.: 1969, The Radiation Belt and Magnetosphere, Blaisdell, Waltham, Mass.

    Google Scholar 

  • Istomin, J. N. and Karpman, V. I.: 1972a, Zh. Experim. i Teor. Fiz. 63, 131; 1973, JETP 36, 69.

    Google Scholar 

  • Istomin, J. N. and Karpman, V. I.: 1972b, Zh. Experim. i Teor. Fiz. 63, 1969; 1973, JETP 36, 897.

    Google Scholar 

  • Istomin, J. N., Karpman, V. I., and Shklyar, D. R.: 1973, Zh. Experim. i Teor. Fiz. 64, 2072.

    Google Scholar 

  • Karpman, V. I. and Shklyar, D. R.: 1972, Zh. Experim. i Teor. Fiz. 62, 944; 1972, JETP 35, 500.

    Google Scholar 

  • Karpman, V. I. and Shklyar, D. R.: 1974, Zh. Experim. i Teor. Fiz. 67 102.

    Google Scholar 

  • Karpman, V. I., Istomin, J. N., and Shklyar, D. R.: 1973a, Preprint IZMIRAN No. 3; 1974, Plasma Phys. 16 (in press).

  • Karpman, V. I., Istomin, J. N., and Shklyar, D. R.: 1973b, Preprint IZMIRAN No. 14; 1974, Planetary Space Sci. 22 (in press).

  • Kenney, J. F. and Knaflich, H. B.: 1967, J. Geophys. Res. 72, 2857.

    Google Scholar 

  • Kruer, W. L., Dawson, J. M., and Sudan, R. V.: 1969, Phys. Rev. Letters 23, 838.

    Google Scholar 

  • Laval, G. and Pellat, R.: 1970, J. Geophys. Res. 75, 3255.

    Google Scholar 

  • Lutomirsky, R. and Sudan, R. N.: 1966, Phys. Rev. 147, 156.

    Google Scholar 

  • Mazitov, R. K.: 1965, Zh. Prikl. Tekh. Fiz. I, 27.

    Google Scholar 

  • Nunn, D.: 1971a, Planetary Space Sci. 19, 1141.

    Google Scholar 

  • Nunn, D.: 1971b, J. Plasma Phys. 6, Part 2, 291.

    Google Scholar 

  • Nunn, D.: 1973, Planetary Space Sci. 21, 67.

    Google Scholar 

  • O'Neil, T. M.: 1965, Phys. Fluids 8, 2255.

    Google Scholar 

  • Ossakow, S. L., Ott, E., and Haber, I.: 1972, Phys. Fluids 15, 2314.

    Google Scholar 

  • Palmadesso, P. and Schmidt, G.: 1971, Phys. Fluids 14, 1411.

    Google Scholar 

  • Roux, A. and Solomon, J.: 1970, Ann. Geophys. 26, 279.

    Google Scholar 

  • Rowlands, J., Shapiro, V. D., and Shevchenko, V. I.: 1966, Zh. Experim. i Tear. Fiz., 979.

  • Sagdeev, R. Z. and Shafranov, V. D.: 1961, Sov. Phys. JETP 12, 130.

    Google Scholar 

  • Shapiro, V. D. and Shevchenko, V. I.: 1968, Ukr. Fiz. Zh. 13, 1989.

    Google Scholar 

  • Sudan, R. N.: 1963, Phys. Fluids 6, 57.

    Google Scholar 

  • Sudan, R. N. and Ott, E.: 1971, J. Geophys. Res. 76, 4463.

    Google Scholar 

  • Troitskaya, V. A. and Gul'elmi, A. V.: 1967, Space Sci. Rev. 7, 689.

    Google Scholar 

  • Tverskoy, B. A.: 1968, Dynamics of the Earth Radiation Belts, Nauka, Moscow.

    Google Scholar 

  • Vedenov, A. A., Velikhov, E. P., and Sagdeev, R. Z.: 1961, Nuclear Fusion I, 82.

    Google Scholar 

  • Vedenov, A. A., Velikhov, E. P., and Sagdeev, R. Z.: 1962, Nucl. Fusion, Suppl. Part. 11, 465.

  • Wehrlin, N., Gendrin, R., Roux, A., and Welti, R.: 1973, J. Geophys. Res. 78, 763.

    Google Scholar 

  • Wharton, C. B., Malmberg, J. H., and O'Neil, T. M.: 1968, Phys. Fluids 11, 1761.

    Google Scholar 

  • Yagishita, T. and Ichikawa, Y. H.: 1970, J. Phys. Soc. Japan 28, 1555.

    Google Scholar 

  • Zhulin, I. A., Karpman, V. I., and Sagdeev, R. Z.: 1972, in Critical Problems of Magnetospheric Physics (Proc. of the Madrid Symposium, 1972), p. 245.

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Authors and Affiliations

  1. Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation, Academy of Sciences of the U.S.S.R., Moscow, U.S.S.R.

    V. I. Karpman

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  1. V. I. Karpman
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Karpman, V.I. Nonlinear effects in the ELF waves propagating along the magnetic field in the magnetosphere. Space Sci Rev 16, 361–388 (1974). https://doi.org/10.1007/BF00171564

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