304 citations · 1k across the 40 of their papers we have counts for
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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…
Dark solitons in external potentials
Dmitry E. Pelinovsky, Panayotis G. Kevrekidis
We consider the persistence and stability of dark solitons in the Gross-Pitaevskii (GP) equation with a small decaying potential. We show that families of black solitons with zero…
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)…