Skip to main content
SpringerLink
Log in

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

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

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

    Google Scholar 

  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).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  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).

    Google Scholar 

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

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

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

Download references

Authors
  1. A. B. Borisov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Kiselev
    View author publications

    You can also search for this author in PubMed Google Scholar

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.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01129189

Search

Navigation