Geodesic
Quasigraded lie algebras, Kostant--Adler scheme, and integrable hierarchies
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 329-345

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Using special “anisotropic” quasigraded Lie algebras, we obtain a number of new hierarchies of integrable nonlinear equations in partial derivatives admitting zero-curvature representations. Among them are an anisotropic deformation of the Heisenberg magnet hierarchy, a matrix and vector generalization of the Landau–Lifshitz hierarchies, new types of matrix and vector anisotropic chiral-field hierarchies, and other types of anisotropic hierarchies.
Keywords: hierarchies of integrable models, infinite algebras, Kostant–Adler scheme. 
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     author = {T. V. Skrypnik},
     title = {Quasigraded lie algebras, {Kostant--Adler} scheme, and integrable hierarchies},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {329--345},
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     volume = {142},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a10/}
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T. V. Skrypnik. Quasigraded lie algebras, Kostant--Adler scheme, and integrable hierarchies. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 329-345. http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a10/