Generalized hydrodynamic limit for the box-ball system

14 Mar 2020 Croydon David A. Sasada Makiko

We deduce a generalized hydrodynamic limit for the box-ball system, which explains how the densities of solitons of different sizes evolve asymptotically under Euler space-time scaling. To describe the limiting soliton flow, we introduce a continuous state-space analogue of the soliton decomposition of Ferrari, Nguyen, Rolla and Wang (cf... (read more)

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  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS
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