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Many-soliton solutions of asymmetric chiral SU(2) and SL(2, R) theories (d=1)

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Literature Cited

  1. 1.

    L. D. Faddeev and V. E. Korepin, Phys. Rep.,42C, 1 (1978).

  2. 2.

    V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, The Theory of Solitons: The Inverse Scattering Method [in Russian], Nauka, Moscow (1980).

  3. 3.

    É. Cartan, The Geometry of Lie Groups and Symmetric Spaces [Russian translation], IL, Moscow (1949).

  4. 4.

    V. E. Zakharov and A. V. Mikhailov, Zh. Eksp. Teor. Fiz.,74, 1953 (1978).

  5. 5.

    V. E. Zakharov and A. B. Shabat, Funktsional. Analiz i Ego Prilozhen.,12, 13 (1979).

  6. 6.

    D. V. Volkov, A. A. Zheltukhin, and Yu. P. Bliokh, Fiz. Tverd. Tela (Leningrad),13, 1669 (1971).

  7. 7.

    D. V. Volkov, Fiz. Elem. Chastits At. Yadra,4, 3 (1973).

  8. 8.

    M. K. Volkov and V. N. Pervushin, Essentially Nonlinear Quantum Theories, Dynamical Symmetries, and Meson Physics [in Russian], Atomizdat, Moscow (1978).

  9. 9.

    D. V. Volkov and A. A. Zheltukhin, Fiz. Nizk. Temp.,5, 1359 (1979).

  10. 10.

    A. F. Andreev and V. I. Marchenko, Usp. Fiz. Nauk,130, 39 (1980).

  11. 11.

    D. V. Volkov and A. A. Zheltukhin, Zh. Eksp. Teor. Fiz.,78, 1867 (1980).

  12. 12.

    M. Lakshmanan, Phys. Lett. A,61, 53 (1977); L. A. Takhtajan, Phys. Lett. A,64, 235 (1977).

  13. 13.

    K. Pohlmeyer, Commun. Math. Phys.,46, 207 (1976).

  14. 14.

    V. I. Karpman and E. M. Maslov, Zh. Eksp. Teor. Fiz.,73, 537 (1977).

  15. 15.

    I. V. Cherednik, Teor. Mat. Fiz.,47, 225 (1981).

  16. 16.

    A. Érdelyi et al. (eds.) Higher Transcendental Functions, (California Institute of Technology H. Bateman M. S. Project), Vol. 3, McGraw Hill, New York (1955).

  17. 17.

    D. J. Kaup, “The method of solution for stimulated Raman scattering and two-photon absorption,” Preprint, Clarkson College of Technology, April (1980).

  18. 18.

    E. K. Sklyanin, “On complete integrability of the Landau—Lifshitz equation,” Preprint LOMI E-3, Leningrad (1979).

  19. 19.

    B. A. Ivanov, A. M. Kosevich, and I. M. Babich, Pis'ma Zh. Eksp. Teor. Fiz.,29, 777 (1979).

  20. 20.

    M. M. Bogdan and A. S. Kovalev, Pis'ma Zh. Eksp. Teor. Fiz.,31, 453 (1980).

  21. 21.

    É. I. Zverovich, Usp. Mat. Nauk,26, 113, (1971).

  22. 22.

    S. V. Manakov, Funktsional. Analiz i Ego Prilozhen.,10, 93 (1976).

  23. 23.

    A. V. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz.,32, 187 (1980).

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Additional information

Institute of Metal Physics, Ural Scientific Center of the USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 54, No. 2, pp. 246–257, February, 1983.

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Borisov, A.B., Kiselev, V.V. Many-soliton solutions of asymmetric chiral SU(2) and SL(2, R) theories (d=1). Theor Math Phys 54, 160–167 (1983). https://doi.org/10.1007/BF01129189

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