Two Integrable Systems Related to Hyperbolic Monopoles

Details Two Integrable Systems Related to Hyperbolic Monopoles Two Integrable Systems Related to Hyperbolic Monopoles

1998-11-17

arxiv.org/abs/solv-int/9811012v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, plainTeX

Scientific paper

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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