Skip to main content
SpringerLink
Log in

From separation relations to soliton hierarchies

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

We propose a general scheme of constructing soliton hierarchies from finite-dimensional Stackel systems and related separation relations. In particular, we concentrate on Benenti class of separable systems.

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

Similar content being viewed by others

References

  1. E.K. Sklyanin: Progr. Theor. Phys. Suppl. 118 (1995) 35.

    MathSciNet  MATH  ADS  Google Scholar 

  2. E.V. Ferapontov and A.P. Fordy: J. Geom. Phys. 21 (1997) 169.

    Article  MathSciNet  MATH  ADS  Google Scholar 

  3. P.D. Lax: in Nonlinear wave motion, Lectures in Appl. Math., Vol. 15, Amer. Math. Soc., Providence, R.I., 1974, p. 85.

    Google Scholar 

  4. O.I. Mokhov: Symplectic and Poisson geometry on loop spaces of smooth manifolds and integrable equations, Rev. Math. Math. Phys., Vol. 11, part 2. Harwood Academic Publishers, Amsterdam, 2001. 204 pp.

    Google Scholar 

  5. S. Benenti: Rend. Sem. Mat. Univ. di Torino 50 (1992) 315.

    MathSciNet  MATH  Google Scholar 

  6. S. Benenti: in Differential geometry and its applications, Proc. of the Conf., Opava, Czech Republic, 1993. Silesian University, Opava, Vol. I, 1993, p. 163; ELibEMS http://www.emis.de/proceedings/.

    Google Scholar 

  7. S. Benenti: J. Math. Phys. 38 (1997) 6578.

    Article  MathSciNet  MATH  ADS  Google Scholar 

  8. M. Blaszak: J. Phys. A 38 (2005) 1667.

    Article  MathSciNet  MATH  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614, Poznan, Poland

    Maciej Blaszak

  2. Department of Science and Technology, Campus Norrkoping, Linkoping University, 601-74, Norrkoping, Sweden

    Krzysztof Marciniak

Authors
  1. Maciej Blaszak
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Krzysztof Marciniak
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by KBN Research Project 1 P03B 111 27 and by Swedish Research Science Council grant No. 2004-6920.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blaszak, M., Marciniak, K. From separation relations to soliton hierarchies. Czech J Phys 55, 1343–1350 (2005). https://doi.org/10.1007/s10582-006-0007-8

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10582-006-0007-8

Key words

Search

Navigation