Skip to main content

Relativistically invariant models of the field theory integrable by the inverse scattering method

  • Non-Linear Systems
  • Conference paper
  • First Online:
Twistor Geometry and Non-Linear Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 970))

  • 603 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Gardner, C.S., Green, J.M., Kruskal, M.D., Miura, R.M., Phys. Rev. Lett. 19, 1095, (1967).

    Article  ADS  Google Scholar 

  2. Zakharov, V.E., Manakov, S.V., Novikov, S.P., Pitaevsky, L.P., "Theory of Solitons. The Inverse Problem Method", Moscow "Nauka" (1980).

    Google Scholar 

  3. Ibragimov, N.Kh., Shabat, A.B., Func. Ann. and its Appl. 13, (1979) (in Russian).

    Google Scholar 

  4. Mikhailov, A.V., "Reduction Problem and the Inverse Problem Method" in "Proceedings of Kiev Soviet-American meeting" (Kiev, September, 1979), North Holland P.C.

    Google Scholar 

  5. Mikhailov, A.V., JETP Lett. 32, 187 (1980) (in Russian).

    Google Scholar 

  6. Takhtajan, L.A., Faddeev, L.D., UMN 34, 13 (1979) (in Russian).

    Google Scholar 

  7. Ablowitz, M. et al., Phys. Rev. Lett. 30, 1262 (1973).

    Article  ADS  MathSciNet  Google Scholar 

  8. Takhtajan, L.A., JETP 66, 476 (1974) (in Russian).

    Google Scholar 

  9. Mikhailov, A.V., JETP Lett. 23, 320 (1976).

    ADS  Google Scholar 

  10. Kuznetsov, E.A., Mikhailov, A.V., Teor. Mat. Fiz. 30, 303 (1977) (in Russian).

    Article  Google Scholar 

  11. Lund, F., Regge, T., Phys. Rev. D14, 1524 (1976).

    ADS  MathSciNet  Google Scholar 

  12. Pohlmeyer, K., Comm. Math. Phys. 46, 207 (1976).

    Article  ADS  MathSciNet  Google Scholar 

  13. Zakharov, V.E., Mikhailov, A.V., JETP Lett. 27, 42 (1978).

    ADS  Google Scholar 

  14. Zakharov, V.E., Mikhailov, A.V., JETP 47, 1017 (1978).

    ADS  Google Scholar 

  15. Zakharov, V.E., Mikhailov, A.V., Comm. Math. Phys. 74, 21 (1980).

    Article  ADS  MathSciNet  Google Scholar 

  16. Golo, V.L., Perelomov, A.M., Preprint ITEP-45 (1978).

    Google Scholar 

  17. Lüscher, M., Phys. Lett. 78B, 465 (1978).

    Article  ADS  Google Scholar 

  18. Belavin, A.A., Polyakov, A.M., JETP Lett. 22, 503 (1975).

    Google Scholar 

  19. Budagov, A.S., Takhtajan, L.A., Sov. Phys. Doklady 22, 428 (1977).

    ADS  Google Scholar 

  20. Budagov, A.S., Zapiski nauchnyh seminarov LOMI v.77, 24 (1978) (in Russian).

    MathSciNet  Google Scholar 

  21. Izergin, A.G., Kulish, P.P., Lett. Math. Phys. 2, 297 (1978).

    Article  ADS  MathSciNet  Google Scholar 

  22. Girardello, L., Sciuto, S., Phys. Lett. 77B, 267 (1978).

    Article  ADS  MathSciNet  Google Scholar 

  23. Chaichain, M., Kulish, P.P., Phys. Lett. 78B, 413 (1978).

    Article  ADS  Google Scholar 

  24. Mikhailov, A.V., JETP Lett. 28, 512 (1978).

    ADS  Google Scholar 

  25. Neveu, A., Papanicolaou, N., Comm. Math. Phys. 58, 31 (1978).

    Article  ADS  MathSciNet  Google Scholar 

  26. Mikhailov, A.V., JETP Lett. 30, 443 (1979) (in Russian).

    Google Scholar 

  27. Jiber, A.V., Shabat, A.B., DAN SSSR 247, 1103 (1979) (in Russian).

    Google Scholar 

  28. Dodd, R.K., Bullough, R.K., Proc. R. Soc. Lond. A352, 481 (1977).

    Article  ADS  MathSciNet  Google Scholar 

  29. Mikhailov, A.V., Olshanetsky, M.A., Perelomov, A.M., Preprint ITEP-64 (1980) (to appear in Comm. Math. Phys.).

    Google Scholar 

  30. Cherednik, I.V. (unpublished).

    Google Scholar 

  31. Kaup, D., Preprint (1980).

    Google Scholar 

  32. Mikhailov, A.V. (to be published).

    Google Scholar 

  33. Belavin, A.A., Zakharov, V.E., JETP Lett. 25, 603 (1977).

    Google Scholar 

  34. Pohlmeyer, K., Comm. Math. Phys. 72, 37 (1980).

    Article  ADS  MathSciNet  Google Scholar 

  35. Manakov, S.V., Zakharov, V.E. (unpublished).

    Google Scholar 

  36. Zamolodchikov, A.B., Preprint (1980) (to appear in JETP).

    Google Scholar 

  37. Dubrovin, B.A., Matveyev, V.B., Novikov, S.P., UMN 31, 92 (1976) (in Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Heinz-Dietrich Doebner Tchavdar D. Palev

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Spring-Verlag

About this paper

Cite this paper

Mikhailov, A.V. (1982). Relativistically invariant models of the field theory integrable by the inverse scattering method. In: Doebner, HD., Palev, T.D. (eds) Twistor Geometry and Non-Linear Systems. Lecture Notes in Mathematics, vol 970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066031

Download citation

  • DOI: https://doi.org/10.1007/BFb0066031

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11972-2

  • Online ISBN: 978-3-540-39418-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics