4 citations · 7 across the 4 of their papers we have counts for
5 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…
A Novel Mechanism for Superfluidity Breakdown in Weakly Coupled Bose-Einstein Condensates
F. S. Cataliotti, L. Fallani, F. Ferlaino +7
This paper has been withdrawn by the authors. The authors have now written two separate papers, one theoretical (A. Smerzi, A. Trombettoni, P. G. Kevrekidis, and A. R. Bishop Phys.…
Focusing Revisited: an MN-dynamics Approach
C. I. Siettos, I. G. Kevrekidis, P. G. Kevrekidis
The nonlinear Schr{ö}dinger (NLS) equation is a ubiquitous example of an envelope wave equation for conservative, dispersive systems. We revisit here the problem of self-similar fo…