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We establish the explicit correspondence between the theory of soliton gases in classical integrable dispersive hydrodynamics, and generalized hydrodynamics (GHD), the hydrodynamic theory for many-body quantum and classical integrable systems.
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A. C. Cubero, T. Yoshimura, and H. Spohn · 2021
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Kinetic equation for soliton gas: integrable reductions
E.V. Ferapontov and M.V. Pavlov · 2022
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arXiv preprint arXiv:2203.03566
A. Tovbis and F. Wang, Recent developments in spectral theory of the focusing NLS soliton and breather gases: the thermodynamic limit of average densities, fluxes and certain meromorphic differentials; periodic gases · 2022
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