Abstract
We consider factoring subalgebras for loop algebras over so(4). Given a factoring subalgebra, we find (in terms of coefficients of commutator relations) an explicit form of (1) the corresponding system of the chiral-field-equation type, (2) the corresponding two-spin model of the Landau-Lifshitz equation, and (3) the corresponding Hamiltonian system of ordinary differential equations with homogeneous quadratic Hamiltonian and linear so(4)-Poisson brackets.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 3, pp. 79–94, 2005.
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Efimovskaya, O.V. Factorization of loop algebras over so(4) and integrable nonlinear differential equations. J Math Sci 144, 3926–3937 (2007). https://doi.org/10.1007/s10958-007-0245-8
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DOI: https://doi.org/10.1007/s10958-007-0245-8