82 citations · 523 across the 45 of their papers we have counts for
33 papers · 1 filter
-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…
Integrable operators, -Problems, KP and NLS hierarchy
Marco Bertola, Tamara Grava, Giuseppe Orsatti
We develop the theory of integrable operators acting on a domain of the complex plane with smooth boundary in analogy with the theory of integrable operators acting o…
Discrete integrable systems and random Lax matrices
Massimo Gisonni, Tamara Grava, Giorgio Gubbiotti +1
We study properties of Hamiltonian integrable systems with random initial data by considering their Lax representation. Specifically, we investigate the spectral behaviour of the c…
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation
Manuela Girotti, Tamara Grava, Robert Jenkins +2
We analyze the case of a dense mKdV soliton gas and its large time behaviour in the presence of a single trial soliton. We show that the solution can be expressed in terms of Fredh…
Exactly solvable anharmonic oscillator, degenerate orthogonal polynomials and Painleve' II
Marco Bertola, Eduardo Chavez-Heredia, Tamara Grava
The paper addresses a conjecture of Shapiro and Tater on the similarity between two sets of points in the complex plane; on one side is the values of for which th…
Soliton shielding of the focusing Nonlinear Schrödinger Equation
Marco Bertola, Tamara Grava, Giuseppe Orsatti
We first consider a deterministic gas of solitons for the Focusing Nonlinear Schrödinger (FNLS) equation in the limit with a point spectrum chosen to interpolate a…