This article is cited in 15 papers

Generalized hydrodynamic reductions of the kinetic equation for a soliton gas

M. V. Pavlov^ab, V. B. Taranov^c, G. A. El<sup>d

a</sup> Lebedev Physical Institute, RAS, Moscow, Russia
^b M. V. Lomonosov Moscow State University
^c Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kiev, Ukraine
^d Department of Mathematical Sciences, Loughborough University, Loughborough, United Kingdom

Abstract: 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, Riemann invariant, hydrodynamic reduction.

Received: 25.05.2011

DOI: 10.4213/tmf6918

 English version: Theoretical and Mathematical Physics, 2012, 171:2, 675–682

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