304 citations · 2k across the 194 of their papers we have counts for
5 papers · 2 filters
Modulational Instability in Nonlinearity-Managed Optical Media
Martin Centurion, Mason A. Porter, Ye Pu +3
We investigate analytically, numerically, and experimentally the modulational instability in a layered, cubically-nonlinear (Kerr) optical medium that consists of alternating layer…
Lyapunov--Schmidt reduction algorithm for three-dimensional discrete vortices
Mike Lukas, Dmitry Pelinovsky, P. G. Kevrekidis
We address persistence and stability of three-dimensional vortex configurations in the discrete nonlinear Schrödinger (NLS) equation and develop a symbolic package based on Wolfram…
Comparative Study of Different Discretizations of the Model
Ishani Roy, Sergey V. Dmitriev, Panayotis G. Kevrekidis +1
We examine various recently proposed discretizations of the well-known field theory. We compare and contrast the properties of their fundamental solutions including the natur…
Dark Solitons in Discrete Lattices: Saturable versus Cubic Nonlinearities
E. P. Fitrakis, P. G. Kevrekidis, H. Susanto +1
In the present work, we study dark solitons in dynamical lattices with the saturable nonlinearity and compare them with those in lattices with the cubic nonlinearity. This comparis…
Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
Mason A. Porter, P. G. Kevrekidis, Boris A. Malomed +1
We investigate the dynamics of an effectively one-dimensional Bose-Einstein condensate (BEC) with scattering length subjected to a spatially periodic modulation, $a=a(x)=a(x+L)…