This article is cited in 6 papers

Backlund Loop Algebras for Compact and Noncompact Nonlinear Spin Models in $(2+1)$ Dimensions

M. Palese

University of Torino

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.

Keywords: integrable systems, nonlinear spin models, prolongation algebras, Backlund transformations, Backlund–Cartan connections.

DOI: 10.4213/tmf1841

 English version: Theoretical and Mathematical Physics, 2005, 144:1, 1014–1021

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