Geodesic
Inverse scattering transform for the Hamiltonian version of the Davey--Stewartson~I Equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 278-284

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Spectral transform for the Davey–Stewartson I equation describing the Hamiltonian case of this equation is suggested. It is shown that spectral data obey closed nonlinear evolution equations. 
@article{TMF_1994_99_2_a13,
     author = {T. I. Garagash and A. K. Pogrebkov},
     title = {Inverse scattering transform for the {Hamiltonian} version of the {Davey--Stewartson~I} {Equation}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {278--284},
     publisher = {mathdoc},
     volume = {99},
     number = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a13/}
}
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T. I. Garagash; A. K. Pogrebkov. Inverse scattering transform for the Hamiltonian version of the Davey--Stewartson~I Equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 278-284. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a13/