Generalized hydrodynamic reductions of the kinetic equation for a soliton gas

DOI10.1007/s11232-012-0064-zzbMath1282.82033arXiv1105.4859OpenAlexW2008915875MaRDI QIDQ2636625

Volodymyr B. Taranov, Maxim P. Pavlov, Gennady A. El

Publication date: 30 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4859

zbMATH Keywords

kinetic equationRiemann invarianthydrodynamic reduction

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (6)

Kinetic equation for soliton gas: integrable reductions ⋮ Reductions of kinetic equations to finite component systems ⋮ Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation ⋮ Hamiltonian systems of Jordan block type: Delta-functional reductions of the kinetic equation for soliton gas ⋮ On classical integrability of the hydrodynamics of quantum integrable systems ⋮ Soliton gas in integrable dispersive hydrodynamics

Cites Work

• Kinetic equation for a soliton gas and Its hydrodynamic reductions
• Hamiltonian formalism of weakly nonlinear hydrodynamic systems
• The thermodynamic limit of the Whitham equations
• Hyperbolic systems of conservation laws II
• Soliton turbulence as a thermodynamic limit of stochastic soliton lattices

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