EXPLICIT BÄCKLUND TRANSFORMATION OF BREATHER SOLUTION FOR THE SINE-GORDON EQUATION
- 10 April 1989
- journal article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 4 (7) , 667-673
- https://doi.org/10.1142/s0217732389000794
Abstract
Explicit expressions of the Bäcklund transformations generating a soliton solution and a breather solution for the sine-Gordon equation are given. Solutions are shown to be regular without the restriction of λj, in the upper half-plane of complex λ, which is given by the inverse scattering method.Keywords
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