Geodesic
Generalized hydrodynamic reductions of the~kinetic equation for a~soliton gas
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 2, pp. 294-302

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We derive generalized multiflow hydrodynamic reductions of the nonlocal kinetic equation for a soliton gas and investigate their structure. These reductions not only provide further insight into the properties of the new kinetic equation but also could prove to be representatives of a novel class of integrable systems of hydrodynamic type beyond the conventional semi-Hamiltonian framework.
Keywords: kinetic equation, hydrodynamic reduction.
Mots-clés : Riemann invariant 
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     author = {M. V. Pavlov and V. B. Taranov and G. A. El},
     title = {Generalized hydrodynamic reductions of the~kinetic equation for a~soliton gas},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {294--302},
     publisher = {mathdoc},
     volume = {171},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_171_2_a8/}
}
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M. V. Pavlov; V. B. Taranov; G. A. El. Generalized hydrodynamic reductions of the~kinetic equation for a~soliton gas. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 2, pp. 294-302. http://geodesic.mathdoc.fr/item/TMF_2012_171_2_a8/