Traveling and solitary wave solutions to the one-dimensional Gross-Pitaevskii equation

Wei Ping Zhong; Milivoj R. Belić; Yiqin Lu; Tingwen Huang

doi:10.1103/PhysRevE.81.016605

Traveling and solitary wave solutions to the one-dimensional Gross-Pitaevskii equation

Wei Ping Zhong^*, Milivoj R. Belić, Yiqin Lu, Tingwen Huang

^*Corresponding author for this work

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

36 Citations (Scopus)

Abstract

The evolution of traveling and solitary waves in Bose-Einstein condensates (BECs) with a time-dependent scattering length in an attractive/repulsive parabolic potential is studied. The homogeneous balance principle and the F -expansion technique are used to solve the one-dimensional Gross-Pitaevskii equation with time-varying coefficients. We obtained three classes of new exact traveling wave and localized solutions. Our results demonstrate that the BEC solitary wave solutions can be manipulated and controlled by the time-dependent scattering length.

Original language	English
Article number	016605
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	81
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.81.016605
Publication status	Published - 11 Jan 2010
Externally published	Yes

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10.1103/PhysRevE.81.016605

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abstract = "The evolution of traveling and solitary waves in Bose-Einstein condensates (BECs) with a time-dependent scattering length in an attractive/repulsive parabolic potential is studied. The homogeneous balance principle and the F -expansion technique are used to solve the one-dimensional Gross-Pitaevskii equation with time-varying coefficients. We obtained three classes of new exact traveling wave and localized solutions. Our results demonstrate that the BEC solitary wave solutions can be manipulated and controlled by the time-dependent scattering length.",

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AU - Zhong, Wei Ping

AU - Belić, Milivoj R.

AU - Lu, Yiqin

AU - Huang, Tingwen

PY - 2010/1/11

Y1 - 2010/1/11

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AB - The evolution of traveling and solitary waves in Bose-Einstein condensates (BECs) with a time-dependent scattering length in an attractive/repulsive parabolic potential is studied. The homogeneous balance principle and the F -expansion technique are used to solve the one-dimensional Gross-Pitaevskii equation with time-varying coefficients. We obtained three classes of new exact traveling wave and localized solutions. Our results demonstrate that the BEC solitary wave solutions can be manipulated and controlled by the time-dependent scattering length.

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Traveling and solitary wave solutions to the one-dimensional Gross-Pitaevskii equation

Abstract

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