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Hydrodynamic scales of integrable many-particle systems
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The lecture notes cover the emergence of generalized hydrodynamics for the classical and quantum Toda chain, the classical Calogero fluid, the Ablowitz-Ladik discretization of the non-linear Schroedinger equation, and the Lieb-Liniger delta-Bose gas. Such diverse models have structurally identical hydrodynamic equations. Added is a comparison with conventional soliton gases.
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Cited by 1 Pith paper
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Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions
The paper proves the constant-curvature nonlocal Hamiltonian conditions announced in earlier work, classifies the separable case, and gives new KdV, additive-separable, and Lieb-Liniger examples.
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