Skip to main content
Log in

The relationship between Hamiltonian formalisms of stationary and nonstationary problems

  • Published:
Functional Analysis and Its Applications Aims and scope

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.

Literature Cited

  1. S. P. Novikov, "The periodic problem for the Korteweg—de Vries equation," Funktsional'. Analiz i Ego Prilozhen.,8, No. 3, 54–66 (1974).

    Google Scholar 

  2. C. S. Gardner, "Korteweg—de Vries equation and generalizations. IV. The Korteweg—de Vries equation as a Hamiltonian system," J. Math. Phys.,12, 1548–1551 (1971).

    Google Scholar 

  3. P. D. Lax, "Periodic solution of the KdV equation," Comm. Pure and Appl. Math.,28, No. 1, 141–188 (1975).

    Google Scholar 

  4. I. M. Gel'fand and L. A. Dikii, "Asymptotic behavior of resolvent of Sturm—Liouville operators and the algebra of Korteweg—de Vries equations," Usp. Matem. Nauk,30, No. 5, 67–101 (1975).

    Google Scholar 

  5. V. E. Zakharov and L. D. Faddeev, "The Korteweg—de Vries equation as a completely integrable Hamiltonian system," Funktsional'. Analiz i Ego Prilozhen.,5, No. 4, 18–27 (1971).

    Google Scholar 

  6. I. M. Gel'fand and L. A. Dikii, "Structure of Lie algebra in formal variational calculus," Funktsional'. Analiz i Ego Prilozhen.,10, No. 1, 18–25 (1976).

    Google Scholar 

Download references

Authors

Additional information

L. D. Landau Institute of Theoretical Physics, Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 10, No. 1, pp. 9–13, January–March, 1976.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bogoyavlenskii, O.I., Novikov, S.P. The relationship between Hamiltonian formalisms of stationary and nonstationary problems. Funct Anal Its Appl 10, 8–11 (1976). https://doi.org/10.1007/BF01075765

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01075765

Keywords

Navigation