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