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Bäcklund loop algebras for compact and non-compact nonlinear spin models in $(2+1)$ dimensions

Marcella Palese
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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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BibTeXRIS

Marcella Palese. 2005-06-16. Bäcklund loop algebras for compact and non-compact nonlinear spin models in $(2+1)$ dimensions. https://doi.org/10.1007/s11232-005-0129-3

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