Geodesic
Steady solutions of the BBGKY hierarchy and first integrals of the motion of a~system of classical particles One-dimensional case
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 78-87

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Steady solutions of the BBGKY hierarchy in one-dimensional classical statistical mechanics are studied. It is shown that every steady solution which satisfies a certain set of conditions is associated with a first integral of the motion of a finite system of particles. This eliminates one of the restrictive conditions that occur in an analogous theorem proved earlier by the author and Gurevieh [2]. 
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     author = {Yu. M. Sukhov},
     title = {Steady solutions of the {BBGKY} hierarchy and first integrals of the motion of a~system of classical particles {One-dimensional} case},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
     year = {1983},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a7/}
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Yu. M. Sukhov. Steady solutions of the BBGKY hierarchy and first integrals of the motion of a~system of classical particles One-dimensional case. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 78-87. http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a7/