Skip to main content
Log in

Finite-gap solutions of two-dimensional isotropic ferromagnet with fixed boundary conditions

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

For the model of the two-dimensional stationary Heisenberg magnet, real finite-gap solutions that describe the main structures that are almost periodic with respect tox andy are constructed. Some solutions of boundary-value problems are considered.

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.

Similar content being viewed by others

References

  1. L. D. Landau and E. M. Lifshitz, in:Collected Works of L. D. Landau, Vol. 1 [in Russian], Nauka, Moscow (1969), p. 128.

    Google Scholar 

  2. R. F. Bikbaev, A. I. Bobenko, and A. R. Its, “The Landau—Lifshitz equation. Theory of exact solutions,” Preprint DonFTI-84-6, 7(81-82), Parts I and II [in Russian], Physicotechnical Institute, Donetsk (1984).

    Google Scholar 

  3. A. V. Mikhailov, “Integrable magnetic models,” in:Solitons (eds. V. Zakharov, V. Pokrovski and Trullinger), North-Holland, Amsterdam (1986).

    Google Scholar 

  4. R. F. Bikbaev,Mat. Zametki,48, 10 (1990).

    Google Scholar 

  5. A. A. Belavin and A. M. Polyakov,Pis'ma Zh. Eksp. Teor. Fiz.,22, 503 (1975).

    Google Scholar 

  6. R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morris,Solitons and Nonlinear Wave Equations, Academic Press, New York (1983).

    Google Scholar 

  7. A. I. Bobenko,Zap. Nauchn. Semin. LOMI,179, 32 (1989).

    Google Scholar 

  8. R. F. Bikbaev and V. O. Tarasov,Algebra i Analiz,3, 78 (1991).

    Google Scholar 

Download references

Authors

Additional information

St Petersburg Branch, V. A. Steklov Mathematics Institute, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 1, pp. 165–172, January, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bikbaev, R.F. Finite-gap solutions of two-dimensional isotropic ferromagnet with fixed boundary conditions. Theor Math Phys 94, 117–122 (1993). https://doi.org/10.1007/BF01017003

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017003

Keywords

Navigation