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"Doubled" generalized Landau-Lifshiz hierarchies and special quasigraded Lie algebras

T. Skrypnyk
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Abstract

Using special quasigraded Lie algebras we obtain new hierarchies of integrable nonlinear vector equations admitting zero-curvature representations. Among them the most interesting is extension of the generalized Landau-Lifshitz hierarchy which we call "doubled" generalized Landau-Lifshiz hierarchy. This hierarchy can be also interpreted as an anisotropic vector generalization of "modified" Sine-Gordon hierarchy or as a very special vector generalization of so(3) anisotropic chiral field hierarchy.

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T. Skrypnyk. 2004-03-23. "Doubled" generalized Landau-Lifshiz hierarchies and special quasigraded Lie algebras. https://doi.org/10.1088/0305-4470%2F37%2F31%2F008

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