3 papers
nlin.SI2026
Integrable perturbation theory for dark solitons of the defocusing nonlinear Schrödinger equation
Nicholas J. Ossi, Barbara Prinari, Jianke Yang
The goal of this work is to revisit the eigenfunction-expansion-based perturbation theory for the defocusing nonlinear Schrödinger equation a nonzero background, and develop it to…
nlin.SI2025
Breather interactions in the integrable discrete Manakov system and trigonometric Yang-Baxter maps
Vincent Caudrelier, Nicholas J. Ossi, Barbara Prinari
The goal of this work is to obtain a complete characterization of soliton and breather interactions in the integrable discrete Manakov (IDM) system, a vector generalization of the…
nlin.SI2024
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude
Evans C. Boadi, Efstathios G. Charalampidis, Panayotis G. Kevrekidis +2
The focus of this work is on a class of solutions of the defocusing Ablowitz-Ladik lattice on an arbitrarily large background which are discrete analogs of the Kuznetsov-Ma (KM) br…