Bäcklund loop algebras for compact and non-compact nonlinear spin models in (2+1) dimensions
Marcella Palese
Abstract
The Bäcklund problem is solved for both the compact and noncompact versions of the Ishimori (2+1)-dimensional nonlinear spin model. In particular, a realization of the arising Bäcklund algebra in the form of an infinite-dimensional loop Lie algebra of the Kač--Moody type is provided.
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