3 papers
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-ph2024
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…
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…