46 citations · 46 across the 5 of their papers we have counts for
6 papers
Inverse scattering for the focusing nonlinear Schrödinger equation with elliptic background and full soliton gas
Tamara Grava, Robert Jenkins, Xiaofan Zhang +1
In this manuscript we develop the direct and inverse scattering problem for the cubic focusing nonlinear Schrödinger equation and for initial data that are asymptotic to an ellipti…
Direct Scattering of the Focusing Nonlinear Schrödinger Equation with Step-like Oscillatory Initial Data
Tamara Grava, Robert Jenkins, Xiaofan Zhang +1
In this manuscript we set up the direct and inverse scattering problems for step-like traveling-wave solutions of the nonlinear Schrödinger equation. Specifically, we consider init…
Soliton Synchronization with Randomness: Rogue Waves and Universality
Manuela Girotti, Tamara Grava, Robert Jenkins +3
We consider an -soliton solution of the focusing nonlinear Schrödinger equations. We give conditions for the synchronous collision of these solitons. When the solitons veloc…
Shielding of breathers for the focusing nonlinear Schrödinger equation
Gregorio Falqui, Tamara Grava, Christian Puntini
We study a deterministic gas of breathers for the Focusing Nonlinear Schrödinger equation. The gas of breathers is obtained from a -breather solution in the limit .…
Law of Large Numbers and Central Limit Theorem for random sets of solitons of the focusing nonlinear Schrödinger equation
Manuela Girotti, Tamara Grava, Ken D. T-R McLaughlin +1
We study a random configuration of soliton solutions of the cubic focusing Nonlinear Schrödinger (fNLS) equation in one space dimension. The soliton…
Rigorous asymptotics of a KdV soliton gas
Manuela Girotti, Tamara Grava, Robert Jenkins +1
We analytically study the long time and large space asymptotics of a new broad class of solutions of the KdV equation introduced by Dyachenko, Zakharov, and Zakharov. These solutio…