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math.SP2020★ 6 cited
On the spectrum of the periodic focusing Zakharov-Shabat operator
Gino Biondini, Jeffrey Oregero, Alexander Tovbis
The spectrum of the focusing Zakharov-Shabat operator on the circle is studied, and its explicit dependence on the presence of a semiclassical parameter is also considered. Several…
nlin.SI2020
Semiclassical dynamics and coherent soliton condensates in self-focusing nonlinear media with periodic initial conditions
Gino Biondini, Jeffrey Oregero
The small dispersion limit of the focusing nonlinear Schrodinger equation with periodic initial conditions is studied analytically and numerically. First, through a comprehensive s…