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…
physics.flu-dyn1999
Rigorous estimates of the tails of the probability distribution function for the random linear shear model
J. C. Bronski, R. M. McLaughlin
In previous work Majda and McLaughlin computed explicit expressions for the th moments of a passive scalar advected by a linear shear flow in the form of an integral over ${\bf…