3 papers
nlin.PS2005
Modulational instability for nonlinear Schrodinger equations with a periodic potential
Jared C. Bronski, Zoi Rapti
We study the stability properties of periodic solutions to the Nonlinear Schrödinger (NLS) equation with a periodic potential. We exploit the symmetries of the problem, in particul…
cond-mat.other2005
Instabilities in the Bogoliubov Spectrum of a condensate in a 1-D periodic potential
Jared C. Bronski, Zoi Rapti
We study the stability of standing wave solutions to a one-dimensional Gross-Pitaevsky equation with a periodic potential. We use some simple complex analysis and the Hamiltonian s…
cond-mat.soft2004
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…