Geodesic
On the complete integrability of a~nonlinear Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 3, pp. 332-343

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It is shown that a nonlinear Schrödinger equation, regarded as the Hamiltonian of a system, is completely integrable. A transition to angle and action variables is made by means of the $S$-matrix of the one-dimensional Dirae operator. 
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     author = {V. E. Zakharov and S. V. Manakov},
     title = {On the complete integrability of a~nonlinear {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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V. E. Zakharov; S. V. Manakov. On the complete integrability of a~nonlinear Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 3, pp. 332-343. http://geodesic.mathdoc.fr/item/TMF_1974_19_3_a5/