Skip to main content
SpringerLink
Log in

Unified approach to the conservation laws and soliton solution for sine-gordon system

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

It is possible to generate an infinite number of conserved quantities and the most general soliton solution in an arbitrary background with the help of the Darboux-Backlund transformation and an expansion of the Lax eigenfunction in the eigenvalue parameter. Use is not made of the Riccati form of the Lax equation which is used in the usual derivation of the conserved quantities. It is shown that for zero seed solution one retrieves the usual one-soliton solution.

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

  • Bullough, R. K., and Caudrey, P. J., eds. (1980).Solitons, Springer-Verlag.

  • Lamb, G. L. (1980).Elements of Soliton Theory, Wiley, New York.

    Google Scholar 

  • Matveev, V. B. (1979a).Letters in Mathematical Physics,3, 503.

    Google Scholar 

  • Matveev, V. B. (1979b).Letters in Mathematical Physics,3, 213.

    Google Scholar 

  • Matveev, V. B. (1979c). Preprint LPTHE 79/7, February 1979.

  • Matveev, V. B., Salle, M. A., and Rybin, A. V. (1987). Darboux transformation and coherent interaction of light pulse with two level media, DESY Preprint, 87-007.

  • Mikhailov, A. (1981).Physica D,3, 73–117.

    Google Scholar 

  • Zakharov, V. E., Manakov, S. V., Novikov, S. P., and Pitaevesky, L. P. (1984).The Theory of Solitons, Consultants Bureau, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. High Energy Physics Division, Department of Physics, Jadavpur University, 700032, Calcutta, India

    A. Roy Chowdhury & Chandana Ghosh

Authors
  1. A. Roy Chowdhury
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chandana Ghosh
    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

Roy Chowdhury, A., Ghosh, C. Unified approach to the conservation laws and soliton solution for sine-gordon system. Int J Theor Phys 30, 245–249 (1991). https://doi.org/10.1007/BF00670718

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00670718

Keywords

Search

Navigation