Geodesic
Backlund Loop Algebras for Compact and Noncompact Nonlinear Spin Models in $(2+1)$ Dimensions
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 153-161

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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, Backlund transformations, Backlund–Cartan connections.
Mots-clés : prolongation algebras 
@article{TMF_2005_144_1_a15,
     author = {M. Palese},
     title = {Backlund {Loop} {Algebras} for {Compact} and {Noncompact} {Nonlinear} {Spin} {Models} in $(2+1)$ {Dimensions}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {153--161},
     publisher = {mathdoc},
     volume = {144},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a15/}
}
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M. Palese. Backlund Loop Algebras for Compact and Noncompact Nonlinear Spin Models in $(2+1)$ Dimensions. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 153-161. http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a15/