3 papers
nlin.SI2026
Perturbation theory for kinks of the defocusing modified Korteweg-de Vries equation
Nicholas J. Ossi, Barbara Prinari, Theodoros P. Horikis +1
In this work we develop an integrable perturbation theory for the defocusing modified Korteweg-de Vries kink solution based on the squared eigenfunction expansion associated with t…
nlin.SI2025
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…