161 citations · 533 across the 23 of their papers we have counts for
4 papers · 1 filter
Non-holonomic constraints and their impact on discretizations of Klein-Gordon lattice dynamical models
Panayotis Kevrekidis, Vakhtang Putkaradze, Zoi Rapti
We explore a new type of discretizations of lattice dynamical models of the Klein-Gordon type relevant to the existence and long-term mobility of nonlinear waves. The discretizatio…
Soliton Dynamics in Linearly Coupled Discrete Nonlinear Schrödinger Equations
A. Trombettoni, H. E. Nistazakis, Z. Rapti +2
We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schrödinger equations, which describe the dynamics of a two-component Bose gas, coupled by an elect…
Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials
Z. Rapti, P. G. Kevrekidis, V. V. Konotop +1
In this paper, we study the competition of linear and nonlinear lattices and its effects on the stability and dynamics of bright solitary waves. We consider both lattices in a pert…
Modulational instability for nonlinear Schrodinger equations with a periodic potential
Jared C. Bronski, Zoi Rapti
We study the stability properties of periodic solutions to the Nonlinear Schrödinger (NLS) equation with a periodic potential. We exploit the symmetries of the problem, in particul…