31 citations · 32 across the 5 of their papers we have counts for
3 papers
math.AP2016
On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS equation on the Half-Line; Non-zero Initial Data
Dimitra C. Antonopoulou, Spyridon Kamvissis
Initial-boundary value problems for 1-dimensional `completely integrable' equations can be solved via an extension of the inverse scattering method, which is due to Fokas and his c…
nlin.SI2014
Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation
Spyridon Kamvissis, Dmitry Shepelsky, Lech Zielinski
We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane in the case of periodic initial data (at )…
nlin.SI2006★ 31 cited
Stability of Periodic Soliton Equations under Short Range Perturbations
Spyridon Kamvissis, Gerald Teschl
We consider the stability of (quasi-)periodic solutions of soliton equations under short range perturbations and give a complete description of the long time asymptotics in this si…