3 papers
math-ph2026
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…
math.AP2024
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…
math-ph2024
-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…