2 papers
nlin.PS2025
Spectral theory of soliton gases for the defocusing NLS equation
Alexander Tovbis, Fudong Wang
In this paper we derive Nonlinear Dispersion Relations (NDR) for the defocusing NLS (dark) soliton gas using the idea of thermodynamic limit of quasimomentum and quasienergy differ…
nlin.PS2024
Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case
Alexander Tovbis, Fudong Wang
In this paper, we study the spectral theory of soliton condensates - a special limit of soliton gases - for the focusing NLS (fNLS). In particular, we analyze the kinetic equation…