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Functional self-similarity in a problem of plasma theory with electron nonlinearity

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Literature Cited

  1. D. V. Shirkov, Dokl. Akad. Nauk SSSR,263, 64 (1982).

    Google Scholar 

  2. D. V. Shirkov, “The renormalization-group method and functional self-similarity in physics,” Preprint E2-83-790 [in English], UINR, Dubna (1988).

    Google Scholar 

  3. D. V. Shirkov, Teor. Mat. Fiz.,60, 218 (1984).

    Google Scholar 

  4. L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  5. N. Kh. Ibragimov, Transformation Groups in Mathematical Physics [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  6. V. A. Baikov, R. K. Gazizov, and N. Kh. Ibragimov, “Approximation symmetries of equations with a small parameter,” Preprint No. 150 [in Russian], M. V. Keldysh Institute of Applied Mathematics, USSR Academy of Sciences, Moscow (1987).

    Google Scholar 

  7. A. A. Zhmudskii and V. B. Taranov, Zh. Tekh. Fiz.,44, 1133 (1974).

    Google Scholar 

  8. A. A. Zhmudskii and V. B. Taranov, Zh. Tekh. Fiz.,45, 158 (1975).

    Google Scholar 

  9. V. B. Taranov, Zh. Tekh. Fiz.,46, 1271 (1976).

    Google Scholar 

  10. D. Roberts, J. Plasma Physica,33, 219 (1985).

    Google Scholar 

  11. B. Abraham-Shrauner, J. Math. Phys.,26, 1428 (1985).

    Google Scholar 

  12. N. G. Denisov, Zh. Eksp. Teor. Fiz.,31, 609 (1957).

    Google Scholar 

  13. J. M. Dawson, Phys. Rev.,113, 383 (1959).

    Google Scholar 

  14. N. S. Erokhin, V. E. Zakharov, and S. S. Moiseev, Zh. Eksp. Teor. Fiz.,56, 179 (1969).

    Google Scholar 

  15. V. F. Kovalev and V. V. Pustovalov, “Generation of harmonics by a hot laser plasma as the profile of a nonlinear Langmuir wave steepens,” Preprint No. 56 [in Russian], P. N. Lebedev Physics Institute, USSR Academy of Science ((1988).

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Authors
  1. V. F. Kovalev
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  2. V. V. Pustovalov
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Additional information

P. N. Lebedev Physics Institute, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 81, No. 1, pp. 69–85, October, 1989.

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Kovalev, V.F., Pustovalov, V.V. Functional self-similarity in a problem of plasma theory with electron nonlinearity. Theor Math Phys 81, 1060–1071 (1989). https://doi.org/10.1007/BF01015510

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  • DOI: https://doi.org/10.1007/BF01015510

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