Geodesic
Quantum current lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 1, pp. 3-17

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A new and extremely important property of the algebraic structure of symmetries of nonlinear infinite-dimensional integrable Hamiltonian dynamical systems is described. It is that their invariance groups are isomorphic to a unique universal Banach Lie group of currents $G=\mathcal I\odot\mathrm{diff}(T^n)$ on an $n$-dimensional torus $T^n$. Applications of this phenomenon to the problem of constructing general criteria of integrability of nonlinear dynamical systems of theoretical and mathematical physics are considered. 
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     author = {N. N. Bogolyubov (Jr.) and A. K. Prikarpatskii},
     title = {Quantum current lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
     year = {1988},
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N. N. Bogolyubov (Jr.); A. K. Prikarpatskii. Quantum current lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/TMF_1988_75_1_a0/