Skip to main content
SpringerLink
Log in

Long-wave equation with free boundaries. I. Conservation laws and solution

  • 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

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. D. J. Benney, “Some properties of long nonlinear waves,” Stud. Appl. Math.,52, No. 1, 45–50 (1973).

    Google Scholar 

  2. R. M. Miura “Conservation laws for the fully nonlinear long-wave equations,” Stud. Appl. Math.,53, No. 1, 45–56 (1974).

    Google Scholar 

  3. I. M. Gel'fand, Yu. I. Manin, and M. A. Shubin, “Poisson brackets and the kernel of the variational derivative in the formal calculus of variations,” Funkts. Anal. Prilozhen.,10, No. 4, 30–34 (1976).

    Google Scholar 

  4. J. J. Stoker, Water Waves, Wiley-Interscience, New York (1957).

    Google Scholar 

Download references

Authors
  1. B. A. Kupershmidt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. I. Manin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 11, No. 3, pp. 31–42, July–September, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kupershmidt, B.A., Manin, Y.I. Long-wave equation with free boundaries. I. Conservation laws and solution. Funct Anal Its Appl 11, 188–197 (1977). https://doi.org/10.1007/BF01079464

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01079464

Keywords

Search

Navigation