148 citations · 187 across the 25 of their papers we have counts for
3 papers · 1 filter
Well-Posedness of Initial-Boundary Value Problems for a Reaction-Diffusion Equation
A. Alexandrou Himonas, Dionyssios Mantzavinos, Fangchi Yan
A reaction-diffusion equation with power nonlinearity formulated either on the half-line or on the finite interval with nonzero boundary conditions is shown to be locally well-pose…
Well-Posedness of the Nonlinear Schrödinger Equation on the Half-Plane
A. Alexandrou Himonas, Dionyssios Mantzavinos
The initial-boundary value problem (IBVP) for the nonlinear Schrödinger (NLS) equation on the half-plane with nonzero boundary data is studied by advancing a novel approach recentl…
Soliton trapping, transmission and wake in modulationally unstable media
Gino Biondini, Sitai Li, Dionyssios Mantzavinos
Interactions between solitons and the coherent oscillation structures generated by localized disturbances via modulational instability are studied within the framework of the focus…