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Hydrodynamic scales of integrable many-particle systems

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arxiv 2301.08504 v2 pith:ARS6BTRI submitted 2023-01-20 cond-mat.stat-mech math-phmath.MPnlin.SI

classification cond-mat.stat-mechmath-phmath.MPnlin.SI
keywords classicalhydrodynamicablowitz-ladikaddedcalogerochaincomparisonconventional
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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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  1. Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions

    math-ph 2025-01 conditional novelty 5.0 of 10

    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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