Zero-Dispersion Limit of the Calogero–Moser Derivative NLS Equation
Rana Badreddine
Source abstract
Abstract. We study the zero-dispersion limit of the Calogero–Moser derivative nonlinear Schrödinger equation [Formula: see text], [Formula: see text], starting from initial data [Formula: see text], where [Formula: see text] and [Formula: see text] is the Szegő projector defined as [Formula: see text]. We characterize the zero-dispersion limit solution by an explicit formula. Moreover, we identify it in terms of the branches of the multivalued solution of the inviscid Burgers–Hopf equation. Finally, we infer that it satisfies a maximum principle.
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