• Corpus ID: 235794906

Hydrodynamic equations for the Ablowitz-Ladik discretization of the nonlinear Schroedinger equation

  title={Hydrodynamic equations for the Ablowitz-Ladik discretization of the nonlinear Schroedinger equation},
  author={Herbert Spohn},
  • H. Spohn
  • Published 10 July 2021
  • Physics, Mathematics
Ablowitz and Ladik discovered a discretization which preserves the integrability of the nonlinear Schrödinger equation in one dimension. We compute the generalized free energy of this model and determine the GGE averaged fields and their currents. They are linked to the mean-field circular unitary matrix ensemble (CUE). The resulting hydrodynamic equations follow the pattern already known from other integrable many-body systems. Studied is also the discretized modified Korteweg-de-Vries… 
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