Generalized hydrodynamic reductions of the kinetic equation for a soliton gas

M. V. Pavlov; V. B. Taranov; G. A. El

doi:10.1007/s11232-012-0064-z

Generalized hydrodynamic reductions of the kinetic equation for a soliton gas

M. V. Pavlov, V. B. Taranov, G. A. El

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

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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.

Original language	English
Pages (from-to)	675-682
Number of pages	8
Journal	Theoretical and Mathematical Physics
Volume	171
Issue number	2
DOIs	https://doi.org/10.1007/s11232-012-0064-z
Publication status	Published - 1 May 2012
Externally published	Yes

Keywords

hydrodynamic reduction
kinetic equation
Riemann invariant

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10.1007/s11232-012-0064-z

Generalized hydrodynamic reductions of the kinetic equation for a soliton gasAccepted author manuscript, 207 KBLicence: CC BY

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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.",

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AU - Taranov, V. B.

AU - El, G. A.

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N2 - 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.

AB - 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.

KW - hydrodynamic reduction

KW - kinetic equation

KW - Riemann invariant

UR - https://www.scopus.com/pages/publications/84862138943

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JF - Theoretical and Mathematical Physics

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Generalized hydrodynamic reductions of the kinetic equation for a soliton gas

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Keywords

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