TY - JOUR
T1 - Hamiltonian averaging for solitons with nonlinearity management
AU - Pelinovsky, D. E.
AU - Kevrekidis, P. G.
AU - Frantzeskakis, D. J.
AU - Zharnitsky, V.
N1 - Funding Information:
P.G.K. gratefully acknowledges the support of NSF-DMS-0204585, NSF-CAREER, and the Eppley Foundation for Research, as well as the hospitality of the Center of Nonlinear Studies of the Los Alamos National Laboratory.
PY - 2004
Y1 - 2004
N2 - We revisit the averaged equation, derived in Pelinovsky [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.
AB - We revisit the averaged equation, derived in Pelinovsky [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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U2 - 10.1103/PhysRevE.70.047604
DO - 10.1103/PhysRevE.70.047604
M3 - Article
C2 - 15600570
AN - SCOPUS:30544451295
SN - 1063-651X
VL - 70
SP - 3
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
ER -