Sine -Gordon Solitons and Soliton Collisions

NOTE: These pages demonstrate the use of Backlund Transformations for obtaining multi-soliton solutions to the sine-Gordon equation, 2D-animation and 3D graphics representation of the soliton collisions.

Backlund Transformations and Nonlinear Superposition Principle

One-Soliton Solutions

Two-Solitons Solutions

Three-Soliton Solutions


[1] R.K.Dodd, J.C.Eilbeck, J.D.Gibbon, H.C.Morries, Solitons and Nonlinear Wave Equations (Academic Press, London, 1982).

[2] A.P. Fordy, A historical introduction to solitons and Backlund transformations. In A.P. Fordy and J.C. Wood, editors, Harmonic Maps and Integrable Systems, pages 7-28. Vieweg, Wiesbaden, 1994. (downloadable version)