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This article is cited in 8 scientific papers (total in 8 papers)
Generalized hydrodynamic reductions of the kinetic equation for a soliton gas
M. V. Pavlovab, V. B. Taranovc, G. A. Eld a 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
Citation:
M. V. Pavlov, V. B. Taranov, G. A. El, “Generalized hydrodynamic reductions of the kinetic equation for a soliton gas”, TMF, 171:2 (2012), 294–302; Theoret. and Math. Phys., 171:2 (2012), 675–682
Linking options:
https://www.mathnet.ru/eng/tmf6918https://doi.org/10.4213/tmf6918 https://www.mathnet.ru/eng/tmf/v171/i2/p294
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Abstract page: | 431 | Full-text PDF : | 226 | References: | 59 | First page: | 9 |
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