Generalised hydrodynamic reductions of the kinetic equation for soliton gas

Details Generalised hydrodynamic reductions of the kinetic equation for soliton gas Generalised hydrodynamic reductions of the kinetic equation for soliton gas

2011-05-24

arxiv.org/abs/1105.4859v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, accepted for publication in "Theoretical and Mathematical Physics"

Scientific paper

We derive generalised multi-flow 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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