29 citations · 31 across the 2 of their papers we have counts for
2 papers
nlin.SI2024★ 2 cited
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…
math-ph2022★ 29 cited
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…