Letters in Mathematical Physics

, Volume 3, Issue 4, pp 265–269 | Cite as

Solitions and separable elliptic solutions of the sine-Gordon equation

  • Alan C. Bryan
  • Christopher R. Haines
  • Allan E. G. Stuart


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.


Statistical Physic Soliton Parameter Space Group Theory Complex Domain 
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Copyright information

© D. Reidel Publishing Company 1979

Authors and Affiliations

  • Alan C. Bryan
    • 1
  • Christopher R. Haines
    • 1
  • Allan E. G. Stuart
    • 1
  1. 1.Department of MathematicsThe City UniversityLondonEngland

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