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

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

2004-02-09

arxiv.org/abs/math/0402114v4

Theor. Math. Phys. 144(1) (2005) 1014-1021

Mathematics

Differential Geometry

9 pages; "Nonlinear Physics: Theory and Experiment. III" (Gallipoli (Lecce) 24/06-03/07/2004)

Scientific paper

10.1007/s11232-005-0129-3

The B\"acklund 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 B\"acklund algebra in the form of an
infinite-dimensional loop Lie algebra of the Ka\v{c}--Moody type is provided.

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