BÄCKLUND LOOP ALGEBRAS FOR COMPACT AND NONCOMPACT NONLINEAR SPIN MODELS IN 2+1 DIMENSIONS

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Abstract

We solve the Backlund problem for both the compact and noncompact versions of the Ishimori (2+1)-dimensional nonlinear spin model. In particular, we realize the arising Backlund algebra in the form of an infinite-dimensional loop Lie algebra of the Kac-Moody type.

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