35 citations · 62 across the 7 of their papers we have counts for
8 papers
Adiabatic perturbation theory for the spinor nonlinear Schrödinger equation with nonvanishing boundary conditions
Vassilios M Rothos
We develop a systematic adiabatic perturbation theory for the integrable spinor nonlinear Schrödinger equation under nonvanishing boundary conditions, formulated entirely wit…
Time-Periodic Solutions of a Driven--Damped Equation on Bounded Domains
Vassilis M Rothos
We prove the existence of time-periodic solutions for a driven--damped wave equation posed on a bounded spatial domain with periodic boundary conditions. The result is obtain…
Stationary Solitons in discrete NLS with non-nearest neighbour interactions
Vassilis M. Rothos, Stavros Anastassiou, Katerina G. Hadjifotinou
The aim of this paper is to provide a construction of stationary discrete solitons in an extended one-dimensional Discrete NLS model with non-nearest neighbour interactions. These…
Cubic-Quintic Long-Range Interactions With Double Well Potentials
Panagiotis A. Tsilifis, Panagiotis G. Kevrekidis, Vassilios M. Rothos
In the present work, we examine the combined effects of cubic and quintic terms of the long range type in the dynamics of a double well potential. Employing a two-mode approximatio…
Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors
V. Koukouloyannis, P. G. Kevrekidis, J. Cuevas +1
We study the existence and stability of multibreathers in Klein-Gordon chains with interactions that are not restricted to nearest neighbors. We provide a general framework where s…
Traveling Waves of Discrete Nonlinear Schrodinger Equations with Nonlocal Interactions
Michal Feckan, Vassilis Rothos
Existence and bifurcation results are derived for quasi periodic traveling waves of discrete nonlinear Schrodinger equations with nonlocal interactions and with polynomial type pot…