Analytical traveling-wave and solitary solutions to the generalized Gross-Pitaevskii equation with sinusoidal time-varying diffraction and potential

Nikola Z. Petrović; Najdan B. Aleksić; Anas Al Bastami; Milivoj R. Belić

doi:10.1103/PhysRevE.83.036609

Analytical traveling-wave and solitary solutions to the generalized Gross-Pitaevskii equation with sinusoidal time-varying diffraction and potential

Nikola Z. Petrović^*, Najdan B. Aleksić, Anas Al Bastami, Milivoj R. Belić

^*Corresponding author for this work

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

20 Citations (Scopus)

Abstract

We determine analytical extended traveling-wave and spatiotemporal solitary solutions to the generalized (3+1)-dimensional Gross-Pitaevskii equation with time-dependent coefficients, for the sinusoidally time-varying diffraction and quadratic potential strength. A number of periodic and localized solutions are obtained whose intensity does not decrease in time in the absence of externally induced gain or loss. Stability analysis of our solitary solutions is carried out, to display their modulational stability.

Original language	English
Article number	036609
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	83
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.83.036609
Publication status	Published - 30 Mar 2011
Externally published	Yes

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10.1103/PhysRevE.83.036609

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abstract = "We determine analytical extended traveling-wave and spatiotemporal solitary solutions to the generalized (3+1)-dimensional Gross-Pitaevskii equation with time-dependent coefficients, for the sinusoidally time-varying diffraction and quadratic potential strength. A number of periodic and localized solutions are obtained whose intensity does not decrease in time in the absence of externally induced gain or loss. Stability analysis of our solitary solutions is carried out, to display their modulational stability.",

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Analytical traveling-wave and solitary solutions to the generalized Gross-Pitaevskii equation with sinusoidal time-varying diffraction and potential. / Petrović, Nikola Z.; Aleksić, Najdan B.; Bastami, Anas Al et al.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 83, No. 3, 036609, 30.03.2011.

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

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T1 - Analytical traveling-wave and solitary solutions to the generalized Gross-Pitaevskii equation with sinusoidal time-varying diffraction and potential

AU - Petrović, Nikola Z.

AU - Aleksić, Najdan B.

AU - Bastami, Anas Al

AU - Belić, Milivoj R.

PY - 2011/3/30

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N2 - We determine analytical extended traveling-wave and spatiotemporal solitary solutions to the generalized (3+1)-dimensional Gross-Pitaevskii equation with time-dependent coefficients, for the sinusoidally time-varying diffraction and quadratic potential strength. A number of periodic and localized solutions are obtained whose intensity does not decrease in time in the absence of externally induced gain or loss. Stability analysis of our solitary solutions is carried out, to display their modulational stability.

AB - We determine analytical extended traveling-wave and spatiotemporal solitary solutions to the generalized (3+1)-dimensional Gross-Pitaevskii equation with time-dependent coefficients, for the sinusoidally time-varying diffraction and quadratic potential strength. A number of periodic and localized solutions are obtained whose intensity does not decrease in time in the absence of externally induced gain or loss. Stability analysis of our solitary solutions is carried out, to display their modulational stability.

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DO - 10.1103/PhysRevE.83.036609

M3 - Article

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VL - 83

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

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IS - 3

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Analytical traveling-wave and solitary solutions to the generalized Gross-Pitaevskii equation with sinusoidal time-varying diffraction and potential

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