Geodesic
Factorization of loop algebras over $\mathrm{so}(4)$ and integrable nonlinear differential equations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 79-94
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We consider factoring subalgebras for loop algebras over $\mathrm{so}(4)$. 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 $\mathrm{so}(4)$-Poisson brackets. 
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O. V. Efimovskaya. Factorization of loop algebras over $\mathrm{so}(4)$ and integrable nonlinear differential equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 79-94. http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a4/

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