148 citations · 187 across the 25 of their papers we have counts for
4 papers · 2 filters
On the proximal dynamics between integrable and non-integrable members of a generalized Korteweg-de Vries family of equations
Nikos I. Karachalios, Dionyssios Mantzavinos, Jeffrey Oregero
The distance between the solutions to the integrable Korteweg-de Vries (KdV) equation and a broad class of non-integrable generalized KdV (gKdV) equations is estimated in appropria…
A new approach for the analysis of evolution partial differential equations on a finite interval
Türker Özsarı, Dionyssios Mantzavinos, Konstantinos Kalimeris
We show that, for certain evolution partial differential equations, the solution on a finite interval can be reconstructed as a superposition of restrictions to $(0,\ell…
The complex Ginzburg-Landau equation on a finite interval and chaos suppression via a finite-dimensional boundary feedback stabilizer
Dionyssios Mantzavinos, Türker Özsarı, Kemal Cem Yılmaz
In this paper, we study the well-posedness and boundary stabilization of the initial-boundary value problem for the complex Ginzburg-Landau (CGL) equation on a finite interval. Fir…
Discrete Nonlinear Schrödinger versus Ablowitz-Ladik: Existence and dynamics of generalized focusing NLS-type lattices over a nonzero background
Dirk Hennig, Nikos I. Karachalios, Dionyssios Mantzavinos +1
The question of well-posedness of the generalized focusing Ablowitz-Ladik and Discrete Nonlinear Schrödinger equations with \textit{nonzero} boundary conditions on the infinite lat…