Skip to main content
Log in

Two-dimensional algebraic-geometric operators with self-consistent potentials

  • 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.

References

  1. H. De Vega, A. Mikhailov, and N. Sanchez, “Exact string solutions in 2 + 1-dimensional de Sitter space-time,” Teor. Mat. Fiz.,94, No. 2, 232–240 (1993).

    Google Scholar 

  2. N. Yajima and M. Oikawa, “Formation and interaction of sonic-Langmuir solitons,” Progr. Theor. Phys.,56, 1719–1739 (1976).

    Google Scholar 

  3. V. G. Makhankov, “On stationary solutions of the Schrödinger equation with self-consistent potential satisfying Boussinesq's equation,” Phys. Lett. A,50, 42–44 (1974).

    Google Scholar 

  4. I. M. Krichever, “Spectral theory of finite-gap nonstationary Schrödinger operators. Nonstationary Peierls model,” Funkts. Anal. Prilozhen.,20, No. 3, 42–54 (1986).

    Google Scholar 

  5. B. Dubrovin, and I. Krichever, “Exact solutions of nonstationary Schrödinger equation with self-consistent potentials,” Fiz. Èlementar. Chastits Atom. Yadra,19, No. 3, 579–621 (1988).

    Google Scholar 

  6. I. Cherednik, “Differential equations for Baker—Akhiezer functions of algebraic curves,” Funkts. Anal. Prilozhen.,12, No. 3, 45–54 (1978).

    Google Scholar 

  7. B. Dubrovin, I. Krichever, and S. Novikov, “Schrödinger equation in magnetic field and Riemann surfaces,” Dokl. Akad. Nauk SSSR,229, No. 1, 15–18 (1976).

    Google Scholar 

  8. A. Veselov and S. Novikov, “Finite-gap two-dimensional periodic Schrödinger operators: potential case,” Dokl. Akad. Nauk SSSR,279, No. 4, 784–788 (1984).

    Google Scholar 

  9. A. Veselov and S. Novikov, “Finite-gap two-dimensional periodic Schrödinger operators: exact formulas and evolution equations,” Dokl. Akad. Nauk SSSR,279, No. 1, 20–24 (1984).

    Google Scholar 

  10. I. Krichever, “Spectral theory of two-dimensional periodic operators and its applications,” Usp. Mat. Nauk,44, No. 2, 121–184 (1989).

    Google Scholar 

Download references

Authors

Additional information

Dedicated to I. M. Gel'fand on his 80th birthday

Landau Institute for Theoretical Physics. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 28, No. 1, pp. 26–40, January–March, 1994.

The investigations are supported by the Russian fund of fundamental investigations (grant No. 93-011-16087).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krichever, I.M. Two-dimensional algebraic-geometric operators with self-consistent potentials. Funct Anal Its Appl 28, 21–32 (1994). https://doi.org/10.1007/BF01079007

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01079007

Keywords

Navigation