29 citations · 29 across the 4 of their papers we have counts for
5 papers
Arbitrary-genus dark soliton gases in the defocusing nonlinear Schrödinger hydrodynamics
Marco Bertola, Deng-Shan Wang, Peng Yan +1
The defocusing nonlinear Schrödinger hydrodynamics supports exact dark solitons under finite density boundary conditions. However, the dark soliton gas, an interacting ensemble of…
Dirichlet energy and focusing NLS condensates of minimal intensity
Marco Bertola, Alexander Tovbis
We consider the family of (poly)continua $\K$ in the upper half-plane that contain a preassigned finite {\it anchor} set . For a given harmonic extern…
-problem for focusing nonlinear Schrödinger equation and soliton shielding
Marco Bertola, Tamara Grava, Giuseppe Orsatti
We consider soliton gas solutions of the Focusing Nonlinear Schrödinger (NLS) equation, where the point spectrum of the Zakharov-Shabat linear operator condensate in a bounded doma…
Partial degeneration of finite gap solutions to the Korteweg-de Vries equation: soliton gas and scattering on elliptic background
Marco Bertola, Robert Jenkins, Alexander Tovbis
We obtain Fredholm type formulas for partial degenerations of Theta functions on (irreducible) nodal curves of arbitrary genus, with emphasis on nodal curves of genus one. An appli…
Diagonalization of the Finite Hilbert Transform on two adjacent intervals
Alexander Katsevich, Alexander Tovbis
We study the interior problem of tomography. The starting point is the Gelfand-Graev formula, which converts the tomographic data into the finite Hilbert transform (FHT) of an unkn…