Skip to main content
SpringerLink
Log in

Lotka-Volterra-type equations and their explicit integration

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

In this Letter, we give an explicit integration of some two-dimensionalised Lotka-Volterra-type equations associated with simple Lie algebras possessing a representation without branching.

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. Saveliev, M. V.:Phys. Lett. A 122, 312 (1987).

    Google Scholar 

  2. Leznov, A. N., Saveliev, M. V. and Smirnov, V. G.:Lett. Math. Phys. 4, 445 (1980).

    Google Scholar 

  3. Gervais, J.-L. and Matsuo, Y.:Comm. Math. Phys. 152, 317 (1993).

    Google Scholar 

  4. Gervais, J.-L. and Saveliev, M. V.: Preprint LPTENS-93/47, December 1993;Comm. Math. Phys., to be published.

  5. Leznov, A. N.:Lett. Math. Phys. 8, 5 (1984).

    Google Scholar 

  6. Bilal, A. and Gervais, J.-L.:Phys. Lett. B 206, 412 (1988);Nuclear Phys. B 314, 646 (1989).

    Google Scholar 

  7. Balog, J., Fehér, L., Forgacs, P., O'Raifeartaigh, L., and Wipf, A.:Ann. Phys. 203, 76 (1990).

    Google Scholar 

  8. Leznov, A. N. and Saveliev, M. V.:Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems, Progress in Physics, Birkhäuser-Verlag, Basel, 1992.

    Google Scholar 

Download references

Author information

Author notes

  1. Mikhail V. Saveliev

    Present address: Institute for High Energy Physics, Moscow Region, 142284, Protvino, Russia

Authors and Affiliations

  1. Laboratoire de Physique Théorique de l'École Normale Supérieure, 24 rue Lhomond, 75231, Paris Cedex 05, France

    Jean -Loup Gervais

  2. Department of Physics, University of Wales, Swansea, SA2 8PP, Swansea, Wales, U.K.

    Mikhail V. Saveliev

Authors
  1. Jean -Loup Gervais
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mikhail V. Saveliev
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gervais, J.L., Saveliev, M.V. Lotka-Volterra-type equations and their explicit integration. Lett Math Phys 34, 177–180 (1995). https://doi.org/10.1007/BF00739096

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00739096

Mathematics Subject Classifications (1991)

Search

Navigation