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.SI2024
Approximation of the thermodynamic limit of finite-gap solutions of the focusing NLS hierarchy by multisoliton solutions
Robert Jenkins, Alexander Tovbis
In this paper we approximate the thermodynamic limit of finite-gap solutions to any integrable equations in the focusing NLS hierarchy (fNLS, mKdV, ...) with an associated multisol…