Theoretical and Mathematical Physics

, Volume 23, Issue 1, pp 343–355 | Cite as

Schrödinger operators with finite-gap spectrum and N-soliton solutions of the Korteweg-de Vries equation

  • A. R. Its
  • V. B. Matveev


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    S. P. Novikov, Funktsional'nyi Analiz,8, No. 3 (1974).Google Scholar
  2. 2.
    V. E. Zakharov and L. D. Faddeev, Funktsional'nyi Analiz,5, No. 4, 18 (1971).Google Scholar
  3. 3.
    L. D. Faddeev, in: Modern Problems of Mathematics, Vol. 3 [in Russian], VINITI (1974).Google Scholar
  4. 4.
    M. Wadati and M. Toda, J. Phys. Soc. Japan,32, 1403 (1972).Google Scholar
  5. 5.
    B. A. Dubrovin, Funktsional'nyi Analiz,9, No. 1 (1975).Google Scholar
  6. 6.
    W. Magnus and S. Winkler, Hill's Equation (1966).Google Scholar
  7. 7.
    E. C. Titchmarsh, Eigenfunctions Expansions Associated with Second-Order Differential Equations, Vol. 2, Clarendon Press, Oxford (1958).Google Scholar
  8. 8.
    L. A. Dikii, Izv. Akad. Nauk SSSR, Ser. Matem.,19, 187 (1953).Google Scholar
  9. 9.
    H. Hoschstadt, Arch. Rat. Mech. Anal.,19, 353 (1965).Google Scholar
  10. 10.
    N. I. Akhiezer, Dokl. Akad. Nauk SSSR,141, 456 (1961).Google Scholar
  11. 11.
    E. I. Zverovich, Usp. Mat. Nauk,26, 114 (1971).Google Scholar
  12. 12.
    E. Ince, Proc. Roy. Soc., Edinburgh,60, 47 (1940).Google Scholar
  13. 13.
    A. I. Its and V. B. Matveev, Funktsional'nyi Analiz,9, No. 1 (1975).Google Scholar
  14. 14.
    G. Springer, Introduction to Riemann Surfaces, Addison-Wesley, Reading, Mass. (1957).Google Scholar
  15. 15.
    N. G. Chebotarev, Theory of Algebraic Functions [in Russian], Gostekhizdat (1948).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • A. R. Its
  • V. B. Matveev

There are no affiliations available

Personalised recommendations