Affine Toda Solitons and Systems of Calogero-Moser Type
H. W. Braden, Andrew N. W. Hone
TL;DR
This paper explores the connection between affine Toda solitons and Calogero-Moser systems, extending the known correspondence between sine-Gordon solitons and integrable models to a broader class involving relativistic models.
Contribution
It establishes a link between affine Toda solitons and spin-generalized Ruijsenaars-Schneider models, broadening the understanding of soliton-system correspondences.
Findings
Affine Toda solitons relate to spin-generalized Ruijsenaars-Schneider models
Extension of sine-Gordon and Ruijsenaars-Schneider correspondence
Provides new insights into integrable systems and soliton solutions
Abstract
The solitons of affine Toda field theory are related to the spin-generalised Ruijsenaars-Schneider (or relativistic Calogero-Moser) models. This provides the sought after extension of the correspondence between the sine-Gordon solitons and the Ruijsenaars-Schneider model.
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