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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★ 46 cited
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…