Positon solutions of the sine-Gordon equation
- 1 July 1993
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 34 (7), 3098-3109
- https://doi.org/10.1063/1.530065
Abstract
The concept of positons is introduced for the sine‐Gordon equation exploiting its covariance under Darboux transformations. Positon solutions represent potentials in the associated linear system corresponding to a vanishing reflection coefficient and a transmission coefficient identically one. The mutual interaction of positons and the interaction of positons with solitons is considered.Keywords
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