3 papers
math.AP2026
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…
nlin.PS2025
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…
math-ph2018
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…