Hamiltonian averaging for solitons with nonlinearity management
Dmitry E. PelinovskyDepartment of Mathematics, McMaster University, Hamilton, Ontario, CanadaP. G. KevrekidisDepartment of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USAD. J. FrantzeskakisDepartment of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, GreeceVadim ZharnitskyDepartment of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
2004en
ABI
Аннотация
We revisit the averaged equation, derived in Phys. Rev. Lett. 91, 240201 (2003)] from the nonlinear Schrödinger (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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