2 citations · 4 across the 4 of their papers we have counts for
4 papers
Nonlinear Schrödinger lattices II: Persistence and Stability of Discrete Vortices
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We study discrete vortices in the anti-continuum limit of the discrete two-dimensional nonlinear Schr{ö}dinger (NLS) equations. The discrete vortices in the anti-continuum limit re…
Nonlinear Schrödinger lattices I: Stability of discrete solitons
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit re…
On the modulational stability of Gross-Pittaevskii type equations in 1+1 dimensions
Z. Rapti, P. G. Kevrekidis, V. V. Konotop
The modulational stability of the nonlinear Schr{ö}dinger (NLS) equation is examined in the cases with linear and quadratic external potential. This study is motivated by recent ex…
Time-Dependent Trapping of Solitons in Bose-Einstein Condensates
H. E. Nistazakis, D. J. Frantzeskakis, N. Brouzakis +3
We study the influence of a time-dependent potential on the motion of solitons in a quasi one-dimensional Bose-Einstein condensate by solving the corresponding Gross-Pitaevskii equ…