Skip to main content
SpringerLink
Log in

Spectral characteristics of elliptic solitons

  • Published:
Mathematical Notes 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. C. Hermite, Oeuvres, Vol. 3, Gauthier-Villars, Paris (1912).

    Google Scholar 

  2. G. H. Halphen, “Memoire sur la reduction des equations differentielles lineaires aux formes integrales,” Mem. Pres. l'Acad. de Sci. de France,28, No. 1, 1–300 (1884).

    Google Scholar 

  3. B. A. Dubrovin, S. R. Novikov, “Periodic and quasiperiodic analogs of multi-soliton solutions of the Korteweg-de Vries equation,” Zh. Éksp. Teor. Fiz.,67, 2131–2142 (1974).

    Google Scholar 

  4. H. Airault, H. P. McKean, and J. Moser, “Rational and elliptic solutions of the KdV equation and a related many-body problem,” Commun. Pure Appl. Math.,30, 94–148 (1977).

    Google Scholar 

  5. I. M. Krichever, “Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles,” Funkts. Analiz Prilozhen.,14, No. 4, 45–54 (1980).

    Google Scholar 

  6. A. Treibich and J. L. Verdier, “New elliptic solitons,” Preprint, Paris (1987).

  7. A. Treibich and J. L. Verdier (avec un appendice de J. Oesterle), “Solitons elliptiques,” Preprint, Paris (1989).

  8. E. D. Belokos and V. Z. Énol'skii, “Verdier elliptic potentials and the Weierstrass reduction theory,” Funkts. Analiz Prilozhen.,23, No. 2, 70–71 (1989).

    Google Scholar 

  9. E. D. Belokos and V. Z. Énol'skii, “Isospectral deformations of elliptic potentials,” Usp. Mat. Nauk,44, No. 5, 155–156 (1989).

    Google Scholar 

  10. E. D. Belokolos and V. Z. Enolskii, “Reduction of theta-functions and elliptic solitons,” in: Elliptic Solitons, I. M. Krichever (ed.), Springer (1991).

  11. A. R. Its and V. B. Matveev, “Hill operators with a finite number of lacunae and multisoliton solutions of the Korteweg-de Vries equation,” Teor. Mat. Fiz.,23, No. 1, 51–67 (1975).

    Google Scholar 

  12. E. D. Belokolos, A. I. Bobenko, V. Z. Énolskii, A. R. Its, and V. Z. Matveev, Algebro Geometrical Methods in the Theory of Integrable Equations, Springer (1992).

  13. A. O. Smirnov, “Elliptic solutions of the Korteweg-de Vries equation,” Mat. Zametki,45, No. 6, 66–73 (1989).

    Google Scholar 

  14. V. P. Gerdt and N. A. Kostov, “Computer algebra in the theory of ordinary differential equations of Halphen type,” in: Computers and Mathematics, E. Kaitofen and S. M. Watt (eds.), Springer (1989), pp. 277–283.

  15. V. Z. Enolskii and N. A. Kostov, “On the geometry of elliptic solitons,” in: Elliptic Solitons, I. M. Krichever (ed.), Springer (1991).

Download references

Author information

Authors and Affiliations

  1. Joint Institute of Nuclear Studies, USSR

    N. A. Kostov & V. Z. Énol'skii

  2. Institute of Metallophysics of the Academy of Sciences of the Ukraine, USSR

    N. A. Kostov & V. Z. Énol'skii

Authors
  1. N. A. Kostov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. Z. Énol'skii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 53, No. 3, pp. 62–71, March, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kostov, N.A., Énol'skii, V.Z. Spectral characteristics of elliptic solitons. Math Notes 53, 287–293 (1993). https://doi.org/10.1007/BF01207715

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01207715

Keywords

Search

Navigation