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The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems

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Literature Cited

  1. A. V. Zhiber and A. B. Shabat, Dokl. Akad. Nauk SSSR,247, 1103 (1979).

    Google Scholar 

  2. A. V. Zhiber, N. Kh. Ibragimov, and A. B. Shabat, Dokl. Akad. Nauk SSSR,249, 26 (1979).

    Google Scholar 

  3. A. N. Leznov, Teor. Mat. Fiz.,42, 343 (1980).

    Google Scholar 

  4. A. N. Leznov and M. V. Saveliev, Lett. Math. Phys.,3, 489 (1973); Commun. Math. Phys.,74, 111 (1980).

    Google Scholar 

  5. V. G. Kats, Izv. Akad. Nauk SSSR, Ser. Mat.,32, 1323 (1968).

    Google Scholar 

  6. N. Kh. Ibragimov and A. B. Shabat, Funktsional. Analiz i Ego Prilozhen.,14, 79 (1980).

    Google Scholar 

  7. V. V. Sokolov, and A. B. Shabat, Funktsional. Analiz i Ego Prilozhen.,14, 79 (1980). A. V. Mikhailov, M. A. Olshanetsky, and A. M. Perelomov, “Two-dimensional generalized Toda lattice,” Preprint No. 64, Institute of Theoretical and Experimental Physics, Moscow (1980).

    Google Scholar 

  8. V. E. Zakharov and A. B. Shabat, Funktsional. Analiz i Ego Prilozhen.,13, 13 (1979); A. V. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz.,30, 443 (1979); V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, The Theory of Solitons: The Inverse Scattering Technique [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  9. E. Inönü and E. P. Wigner, Proc. Acad. Sci. USA,39, 510 (1956).

    Google Scholar 

  10. N. Jacobson, Lie Algebras, Interscience, New York (1962).

    Google Scholar 

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Institute of High Energy Physics, Serpukhov. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 51, No. 1, pp. 10–21, April, 1982.

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Leznov, A.N., Smirnov, V.G. & Shabat, A.B. The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems. Theor Math Phys 51, 322–330 (1982). https://doi.org/10.1007/BF01029257

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  • DOI: https://doi.org/10.1007/BF01029257

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