Skip to main content
SpringerLink
Log in

Solitions and separable elliptic solutions of the sine-Gordon equation

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

Abstract

We point out that the two-soliton (antisoliton) solutions of the sine-Gordon equation may be obtained as limiting cases of a separable, two-parameter family of elliptic solutions. The solitons are found on the boundary of the parameter space for the elliptic solutions when the latter are considered over their usual complex domain.

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. BryanA.C., HainesC.R., and StuartA.E.G.,Lett. Math. Phys. 2, 445 (1978).

    Google Scholar 

  2. OsborneA.D., and StuartA.E.G.,J. Math. Phys. 19, 1573 (1978).

    Google Scholar 

  3. OsborneA.D., and StuartA.E.G.,Phys. Lett. 67A, 328 (1978).

    Google Scholar 

  4. Bryan, A.C., Haines, C.R., and Stuart, A.E.G., Report 1DE/78, Department of Mathematics, The City University (1978).

  5. HancockH.,Theory of Elliptic Functions, Dover Publications Inc., New York, 1958.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The City University, Northampton Square, EC1V OHB, London, England

    Alan C. Bryan, Christopher R. Haines & Allan E. G. Stuart

Authors
  1. Alan C. Bryan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Christopher R. Haines
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Allan E. G. Stuart
    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

Bryan, A.C., Haines, C.R. & Stuart, A.E.G. Solitions and separable elliptic solutions of the sine-Gordon equation. Lett Math Phys 3, 265–269 (1979). https://doi.org/10.1007/BF01821845

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01821845

Keywords

Search

Navigation