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Mathematical Physics Seminar

Hydrodynamic equations for the discrete nonlinear Schroedinger equation in one space dimension.

Herbert Spohn - Technical University Munich

Location:  zoom
Date & time: Wednesday, 04 August 2021 at 10:45AM - 11:45AM

Abstract: NLS in one dimension is an integrable PDE and the respective hydrodynamic description has to include all conserved fields. This goal can be achieved for the defocusing Ablowitz-Ladik discretization.
We explain the construction and the resulting infinite set of coupled hyperbolic conservation laws. There is a curious connection to the circular unitary ensemble of random matrix theory, the orthogonal version being linked to the modified Korteweg-De Vries equation.