2 citations · 2 across the 4 of their papers we have counts for
6 papers
Blow-up for the integrable defocusing Ablowitz-Ladik equation
Dirk Hennig, Nikos I. Karachalios, Dionyssios Mantzavinos +2
This work establishes finite-time blow-up for the completely integrable defocusing Ablowitz-Ladik equation on both infinite and finite lattices. We first establish local well-posed…
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…
Soliton and breather interactions in the integrable discrete focusing Manakov system via Hirota's method
Uyen Le, Alexander Chernyavsky, Barbara Prinari
The aim of this paper is to apply Hirota's bilinear method to the integrable discrete Manakov system in the focusing dispersion regime in order to construct and analyze soliton and…
Novel periodic solutions and rogue waves of the defocusing scalar and coupled Ablowitz-Ladik systems on a nonzero background
Francesco Coppini, Barbara Prinari
In this paper we apply Hirota's bilinear method to the scalar and coupled Ablowitz-Ladik systems in the defocusing dispersion regime under the assumption of a background amplitude…
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…
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…