Geodesic
Existence of a countable set of integrals of the motion for a system of three three-dimensional wave packets with resonance interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 224-228 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that three-dimensional form of three-wave interaction for bounded envelopes, possesses an infinite sequence of conservation laws. Recurrent relation which enables one to obtain conservation laws of arbitrary order $N$ is presented. In contrast to the one-dimensional case the conservation laws are nonpolynomial for $N\geqslant3$ and include essentially nonlocal terms. 
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     author = {E. I. Shulman},
     title = {Existence of~a~countable set of~integrals of~the motion for a~system of~three three-dimensional wave packets with resonance interaction},
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E. I. Shulman. Existence of a countable set of integrals of the motion for a system of three three-dimensional wave packets with resonance interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 224-228. http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a7/

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