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Two Integrable Systems Related to Hyperbolic Monopoles

R S Ward
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Abstract

Monopoles on hyperbolic 3-space were introduced by Atiyah in 1984. This article describes two integrable systems which are closely related to hyperbolic monopoles: a one-dimensional lattice equation (the Braam-Austin or discrete Nahm equation), and a soliton system in (2+1)-dimensional anti-deSitter space-time.

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R S Ward. 1998-11-17. Two Integrable Systems Related to Hyperbolic Monopoles. https://arxiv.org/abs/solv-int/9811012

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