Hamiltonian averaging for solitons with nonlinearity management

D. E. Pelinovsky; P. G. Kevrekidis; D. J. Frantzeskakis; V. Zharnitsky

doi:10.1103/PhysRevE.70.047604

Hamiltonian averaging for solitons with nonlinearity management

D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis, V. Zharnitsky

Research output: Contribution to journal › Article › peer-review

Abstract

Matter-wave solitons were constructed numerically in the context of the Bose-Einstein condensates under the Feshbach resonance management. It was observed that there was a nontrivial difference occurring for large amplitudes of the dark solitons as γ₀→0. It was also observed that in contrary to what was numerically predicted, there was no threshold for the existence of dark solitons of large amplitude. It was also presented that there was no threshold on the existence of dark solitons of large amplitudes, where as such a threshold existed for bright solitons.

Original language	English (US)
Article number	047604
Pages (from-to)	047604-1-047604-3
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	70
Issue number	4 2
DOIs	https://doi.org/10.1103/PhysRevE.70.047604
State	Published - Oct 2004

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.70.047604

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title = "Hamiltonian averaging for solitons with nonlinearity management",

abstract = "Matter-wave solitons were constructed numerically in the context of the Bose-Einstein condensates under the Feshbach resonance management. It was observed that there was a nontrivial difference occurring for large amplitudes of the dark solitons as γ0→0. It was also observed that in contrary to what was numerically predicted, there was no threshold for the existence of dark solitons of large amplitude. It was also presented that there was no threshold on the existence of dark solitons of large amplitudes, where as such a threshold existed for bright solitons.",

author = "Pelinovsky, {D. E.} and Kevrekidis, {P. G.} and Frantzeskakis, {D. J.} and V. Zharnitsky",

note = "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.",

year = "2004",

month = oct,

doi = "10.1103/PhysRevE.70.047604",

language = "English (US)",

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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 - 2004/10

Y1 - 2004/10

N2 - Matter-wave solitons were constructed numerically in the context of the Bose-Einstein condensates under the Feshbach resonance management. It was observed that there was a nontrivial difference occurring for large amplitudes of the dark solitons as γ0→0. It was also observed that in contrary to what was numerically predicted, there was no threshold for the existence of dark solitons of large amplitude. It was also presented that there was no threshold on the existence of dark solitons of large amplitudes, where as such a threshold existed for bright solitons.

AB - Matter-wave solitons were constructed numerically in the context of the Bose-Einstein condensates under the Feshbach resonance management. It was observed that there was a nontrivial difference occurring for large amplitudes of the dark solitons as γ0→0. It was also observed that in contrary to what was numerically predicted, there was no threshold for the existence of dark solitons of large amplitude. It was also presented that there was no threshold on the existence of dark solitons of large amplitudes, where as such a threshold existed for bright solitons.

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Hamiltonian averaging for solitons with nonlinearity management

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