Skip to main content
SpringerLink
Log in

Symmetrizable and Hamiltonian systems

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Literature Cited

  1. A. M. Obukhov, “On integral invariants in systems of hydrodynamic type,” Dokl. Akad. Nauk SSSR,184, No. 2, 309–312 (1969).

    Google Scholar 

  2. A. M. Obukhov, “On symmetrizable nonlinear systems,” Dokl. Akad. Nauk SSSR,233, No. 1, 35–38 (1977).

    Google Scholar 

  3. V. E. Zakharov, “The Hamiltonian formalism for waves in nonlinear media with dispersion,” Izv. Vyssh. Uchebn. Zaved., Radiofiz.,17, No. 4, 431–453 (1974).

    Google Scholar 

  4. F. V. Dolzhanskii, V. I. Klyatskin, A. M. Obukhov, and M. A. Chusov, Nonlinear Systems of Hydrodynamic Type [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  5. S. M. Vishik, “On invariant characteristics of quadratically nonlinear systems of cascade type,” Dokl. Akad. Nauk SSSR,228, No. 6, 1269–1272 (1976).

    Google Scholar 

  6. A. M. Oboukhov, “On the problem of nonlinear interactions in fluid dynamics,” Gerlands Beitr. Geophys.,82, No. 4, 282–290 (1973).

    Google Scholar 

  7. M. S. Longuett-Higgins and A. E. Gill, “Resonant interaction between planetary waves,” Proc. R. Soc.,A299, No. 1456, 120–140 (1967).

    Google Scholar 

  8. N. Bloembergen, Nonlinear Optics, W. A. Benjamin (1965).

  9. V. I. Karpman, Mon-Linear Waves in Dispersive Media, Pergamon (1974).

  10. L. A. Dikii, “A remark on Hamiltonian systems connected with the rotation group,” Funkts. Anal. Prilozhen.,6, No. 4, 83–84 (1972).

    Google Scholar 

  11. V. I. Arnol'd, Mathematical Methods of Classical Mechanics [in Russian], Nauka, Moscow (1974). Appendix 2.

    Google Scholar 

  12. A. S. Mishchenko, “Integrals of geodesic flows on Lie groups,” Funkts. Anal. Prilozhen.,4, No. 3, 73–78 (1970).

    Google Scholar 

  13. S. V. Manakov, “A remark on the integration of the Euler equations for the dynamics of an n-dimensional solid body,” Funkts. Anal. Prilozhen.,10, No. 4, 93–94 (1976).

    Google Scholar 

  14. A. S. Mishchenko and A. T. Fomenko, “On the integration of the Euler equations on semisimple Lie algebras,” Dokl. Akad. Nauk SSSR,231, No. 3, 536–538 (1976).

    Google Scholar 

Download references

Authors
  1. S. M. Vishik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. M. Obukhov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Atmospheric Physics, Academy of Sciences of the USSR, Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 3, pp. 502–511, May–June, 1979.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vishik, S.M., Obukhov, A.M. Symmetrizable and Hamiltonian systems. Sib Math J 20, 353–359 (1979). https://doi.org/10.1007/BF00969938

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969938

Keywords

Search

Navigation