D.E. Pelinovsky, P.G. Kevrekidis, D.J. Frantzeskakis, and V. Zharnitsky
Averaging For Solitons With Nonlinearity Management Revisited
Phys. Rev. E 70, 047604 (2004)
Abstract:
We revisit the averaged equation, derived in our previous paper,
from the nonlinear Schrodinger (NLS) equation with
the nonlinearity management. We show that this
averaged equation is valid only at the initial time interval,
while a new Hamiltonian averaged NLS equation can be used at
longer time intervals. Using the new averaged
equation, we construct numerically matter-wave solitons
in the context of the Bose-Einstein condensates
under the Feshbach resonance management. We show that there
is no threshold on existence of dark solitons of large amplitudes,
whereas such threshold exists for bright solitons.
Keywords:
NONLINEARITY MANAGEMENT, NONLINEAR SCHRODINGER EQUATIONS, AVERAGING METHOD,
BOSE-EINSTEIN CONDENSATES, BRIGHT AND DARK SOLITONS