Skip to main content
SpringerLink
Log in

Two-dimensional nonlinear string-type equations and their exact integration

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

On the basis of a group-theoretical formulation for exactly integrable two-dimensional nonlinear dynamical systems associated with the local part of an arbitrary graded Lie algebra, we study a string-type subclass of the equations. Explicit expressions are obtained for their general solutions.

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

Similar content being viewed by others

References

  1. LundF., Phys. Rev. D15, 1540 (1977); Barbashov, B.M. and Nesterenko, V.V., Sov. J. Part Nucl. 9, 709 (1978); Pohlmeyer, K., Comm. Math. Phys. 46, 207 (1976).

    Article  ADS  Google Scholar 

  2. Barbashov, B.M., Cherviakov, A.M., and Nesterenko, V.V., Preprint JINR 81-944, Dubna (1981).

  3. LeznovA.N. and SavelievM.V., Comm. Math. Phys. 74, 111 (1980); Sov. J. Part. Nucl. 12, 125 (1981).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. BogoliubovN.N. and ShirkovD.V., Introduction to the Theory of Quantized Fields, Interscience Publ., N.Y., 1959.

    Google Scholar 

  5. DynkinE.B. Math. Sb. 30, 349 (1952).

    MATH  MathSciNet  Google Scholar 

  6. LeznovA.N. and SavelievM.V., Lett. Math. Phys. 3, 489 (1979); Physica 3D, 1&2, 62 (1981).

    Article  MATH  MathSciNet  Google Scholar 

  7. KacV.G., Izv. Akad. Nauk. S.S.S.R, Ser Mat. 32, 1323 (1968).

    MATH  MathSciNet  Google Scholar 

  8. LeznovA.N., SavelievM.V., and SmirnovV.G., Sov. J. Theor. Math. Phys. 48, 3 (1981).

    MATH  Google Scholar 

  9. BourbakiN., Groupes et Algebres de Lie, Hermann, Paris, 1968.

    Google Scholar 

  10. LundF. and ReggeT., Phys. Rev. D14, 1524 (1976).

    Article  MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for High Energy Physics, Serpukhov, USSR

    A. N. Leznov & M. V. Saveliev

Authors
  1. A. N. Leznov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. V. Saveliev
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leznov, A.N., Saveliev, M.V. Two-dimensional nonlinear string-type equations and their exact integration. Lett Math Phys 6, 505–510 (1982). https://doi.org/10.1007/BF00405873

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00405873

Keywords

Search

Navigation