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On the proximity of Ablowitz-Ladik and discrete Nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions
Madison L. Lytle, Efstathios G. Charalampidis, Dionyssios Mantzavinos +3
In this work, we investigate the formation of time-periodic solutions with a non-zero background that emulate rogue waves, known as Kuzentsov-Ma (KM) breathers, in physically relev…
Well-posedness of the higher-order nonlinear Schrödinger equation on a finite interval
Chris Mayo, Dionyssios Mantzavinos, Türker Ozsarı
We establish the local Hadamard well-posedness of a certain third-order nonlinear Schrödinger equation with a multi-term linear part and a general power nonlinearity known as the h…
Low-Regularity Solutions of the Nonlinear Schrödinger Equation on the Spatial Quarter-Plane
Dionyssios Mantzavinos, Türker Ozsarı
The Hadamard well-posedness of the nonlinear Schrödinger equation with power nonlinearity formulated on the spatial quarter-plane is established in a low-regularity setting with So…