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Symmetry of differential equations. I

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Abstract

The theory of the group properties of differential equations is generalized, and this makes it possible to obtain new results based on symmetry and the separation of variables in the basic equations of theoretical physics.

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Literature cited

  1. L. V. Ovsyannikov, Group Properties of Differential Equations [in Russian], Izd. SO AN SSSR, Novosibirsk (1962).

    Google Scholar 

  2. L. V. Ovsyannikov and N. Kh. Ibragimov, “Group analysis of the differential equations of mechanics,” in: Itogi Nauki i Tekhniki, Seriya Obshchaya Mekhanika (Reviews of Science and Technology, General Mechanics Series), 2 (1975).

  3. Z. V. Khukhunashvili, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3 (1971).

  4. R. L. Anderson, S. Kumel, and C. E. Wulfman, Phys. Rev. Lett.,28, No. 15, 988 (1972).

    Google Scholar 

  5. N. Kh. Ibragimov and R. L. Anderson, Dokl. Akad. Nauk SSSR,227, No. 3, 539 (1976).

    Google Scholar 

  6. A. V. Bäcklund, Math. Ann., B. 9, 297 (1876).

    Google Scholar 

  7. V. N. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6 (1968).

  8. V. N. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4 (1968).

  9. V. N. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9 (1969).

  10. V. N. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4 (1974).

  11. V. N. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5 (1975).

  12. V. N. Shapovalov, Izv. Vyssh, Uchebn. Zaved., Fiz., No. 6 (1975).

  13. V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, and A. V. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11 (1973).

  14. V. N. Shapovalov and G. G. Ékle, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2 (1974).

  15. V. N. Shapovalov and N. B. Sukhomlin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12 (1974).

  16. V. N. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2 (1977).

  17. L. P. Eisenhart, Continuous Groups of Transformations, Princeton (1933).

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 57–64, June, 1977.

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Shapovalov, V.N. Symmetry of differential equations. I. Soviet Physics Journal 20, 741–747 (1977). https://doi.org/10.1007/BF00892758

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  • DOI: https://doi.org/10.1007/BF00892758

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