Skip to main content

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

Non-Linear Systems

  • 549 Accesses

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

Keywords

  • Invariant Model
  • Riemann Problem
  • Inverse Scattering
  • Toda Chain
  • Inverse Scattering Problem

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • 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

Learn about 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).

    CrossRef  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).

    CrossRef  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).

    CrossRef  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).

    CrossRef  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).

    CrossRef  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).

    CrossRef  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).

    CrossRef  ADS  MathSciNet  Google Scholar 

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

    CrossRef  ADS  MathSciNet  Google Scholar 

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

    CrossRef  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).

    CrossRef  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).

    CrossRef  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).

    CrossRef  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

Editors and Affiliations

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