Geodesic
Example of a~completely integrable nonlinear wave field with nontrivial dynamics (lee model)
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 2, pp. 172-179

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It is shown that the system of equations describing the resonance decay interaction of three wave packets in nonlinear media is a completely integrable Hamiltonian system. Action and angle variables are introduced by means of a transition to the scattering data for the first-order matrix differential operator. 
@article{TMF_1976_28_2_a2,
     author = {S. V. Manakov},
     title = {Example of a~completely integrable nonlinear wave field with nontrivial dynamics (lee model)},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {172--179},
     publisher = {mathdoc},
     volume = {28},
     number = {2},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_2_a2/}
}
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S. V. Manakov. Example of a~completely integrable nonlinear wave field with nontrivial dynamics (lee model). Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 2, pp. 172-179. http://geodesic.mathdoc.fr/item/TMF_1976_28_2_a2/