Geodesic
Hamiltonian interpretation of the method of the inverse problem for the Davey--Stewartson equation
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 7, Tome 161 (1987), pp. 54-71

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The spectral data of the auxiliary linear problem corresponding to the Davey-Stewartson equation (DS) are introduced. Their Poisson brackets are calculated using the Hamiltonian structure of DS. Quantization of this system i s discussed. 
@article{ZNSL_1987_161_a4,
     author = {P. P. Kulish and V. D. Lipovskii},
     title = {Hamiltonian interpretation of the method of the inverse problem for the {Davey--Stewartson} equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {54--71},
     publisher = {mathdoc},
     volume = {161},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_161_a4/}
}
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P. P. Kulish; V. D. Lipovskii. Hamiltonian interpretation of the method of the inverse problem for the Davey--Stewartson equation. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 7, Tome 161 (1987), pp. 54-71. http://geodesic.mathdoc.fr/item/ZNSL_1987_161_a4/