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PHYSICAL REVIEW E
Volume 70, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.70.047604
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We revisit the averaged equation, derived in Pelinovsky et al. [Phys. Rev. Lett. 91, 240201 (2003)] 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 the existence of dark solitons of large amplitudes, whereas such a threshold exists for bright solitons.
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