Herbert Spohn - Technical University Munich
Wednesday, August 4, 10:45AM (Zoom meeting starts at 10:30)
“Hydrodynamic equations for the discrete nonlinear Schroedinger equation in one space dimension”
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.