Skip to main content
Log in

Vector-matrix generalizations of classical integrable equations

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

Abstract

Some vector-matrix generalizations, both known and new, for well-known integrable equations are presented. All of them possess higher symmetries and conservation laws.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C. Athorne and A. P. Fordy,J. Phys., A19 (1986).

  2. S. I. Svinolupov,Teor. Mat. Fiz.,87, 391 (1991).

    Google Scholar 

  3. É. B. Vinberg,Tr. MMO, No. 12, 340 (1963).

    Google Scholar 

  4. S. I. Svinolupov,Phys. Lett.,135A, 32 (1989).

    Google Scholar 

  5. V. V. Sokolov,Usp. Mat. Nauk,43, 133 (1988).

    Google Scholar 

  6. M. A. Semenov-Tyan-Shanskii and L. D. Faddeev,Vestn. Leningr. Univ.,3, 81 (1977).

    Google Scholar 

  7. A. P. Fordy and P. P. Kulish,Commun. Math. Phys.,89, 427 (1983).

    Google Scholar 

  8. A. P. Fordy,J. Phys., A17, 1235 (1984).

    Google Scholar 

  9. S. I. Svinolupov,Commun. Math. Phys.,143, 559 (1992).

    Google Scholar 

  10. S. I. Svinolupov,Funktsional. Analiz i Ego Prilozhen.,27, 27 (1993).

    Google Scholar 

  11. M. Koecher,Univ. of Minnesota Lecture Notes (1969).

  12. O. Loos,Symmetric Spaces, New York (1969).

  13. O. Loos,Lecture Notes in Mathematics, Vol. 460, Springer-Verlag, Berlin (1975, p. 218.

    Google Scholar 

Download references

Authors

Additional information

Ufa Institute of Mathematics, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 100, No. 2, pp. 214–218, August, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Svinolupov, S.I., Sokolov, V.V. Vector-matrix generalizations of classical integrable equations. Theor Math Phys 100, 959–962 (1994). https://doi.org/10.1007/BF01016758

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01016758

Keywords

Navigation