148 citations · 187 across the 25 of their papers we have counts for
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On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
Dirk Hennig, Nikos I. Karachalios, Dionyssios Mantzavinos +2
The question of whether features and behaviors that are characteristic to completely integrable systems persist in the transition to non-integrable settings is a central one in the…
Long-time asymptotics and the radiation condition for linear evolution equations on the half-line with time-periodic boundary conditions
Yifeng Mao, Dionyssios Mantzavinos, Mark A. Hoefer
The large time asymptotics for scalar, constant coefficient,linear, third order, dispersive equations are obtained for asymptotically time-periodic Dirichlet boundary data and…
Local well-posedness of the higher order nonlinear Schrödinger equation on the half-line: single boundary condition case
Aykut Alkın, Dionyssios Mantzavinos, Türker Özsarı
We establish local well-posedness for the higher-order nonlinear Schrödinger equation, formulated on the half-line. We consider the scenario of associated coefficients such that on…