15 citations · 43 across the 4 of their papers we have counts for
4 papers
Stabilization of the coupled pendula chain under parametric PT-symmetric driving force
E. Destyl, S. P. Nuiro, D. E. Pelinovsky +1
We consider a chain of coupled pendula pairs, where each pendulum is connected to the nearest neighbors in the longitudinal and transverse directions. The common strings in each pa…
Short-wave transverse instabilities of line solitons of the 2-D hyperbolic nonlinear Schrödinger equation
D. E. Pelinovsky, E. A. Ruvinskaya, O. A. Kurkina +1
We prove that line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation are unstable with respect to transverse perturbations of arbitrarily small periods, {\e…
Stability of discrete dark solitons in nonlinear Schrodinger lattices
D. E. Pelinovsky, P. G. Kevrekidis
We obtain new results on the stability of discrete dark solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrodinger equation, following the analysis of…
Discrete vector on-site vortices
P. G. Kevrekidis, D. E. Pelinovsky
We study discrete vortices in coupled discrete nonlinear Schrodinger equations. We focus on the vortex cross configuration that has been experimentally observed in photorefractive…