| Solitons for a generalized variable-coefficient nonlinear Schrdinger equation |
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| 引用本文： | 王欢,李彪. Solitons for a generalized variable-coefficient nonlinear Schrdinger equation[J]. 中国物理 B, 2011, 20(4): 40203-040203. DOI: 10.1088/1674-1056/20/4/040203 |
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| 作者姓名： | 王欢 李彪 |
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| 作者单位： | Department of Mathematics, Ningbo University, Ningbo 315211, China |
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| 基金项目： | Project supported by the Natural Science Foundations of Zhejiang Province of China (Grant No. Y6090592), the National Natural Science Foundation of China (Grant Nos. 11041003 and 10735030), Ningbo Natural Science Foundation (Grant Nos. 2010A610095, 2010A610103 and 2009B21003), and K.C. Wong Magna Fund in Ningbo University. |
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| 摘 要： | In this paper,we investigate some exact soliton solutions for a generalized variable-coefficients nonlinear Schrdinger equation (NLS) with an arbitrary time-dependent linear potential which describes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein condensations. Under some reasonable assumptions,one-soliton and two-soliton solutions are constructed analytically by the Hirota method. From our results,some previous one-and two-soliton solutions for some NLS-type equations can be recovered by some appropriate selection of the various parameters. Some figures are given to demonstrate some properties of the one-and the two-soliton and the discussion about the integrability property and the Hirota method is given finally.
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| 关 键 词： | generalized NLS equation Hirota method solitons |
| 收稿时间： | 2010-08-13 |
Solitons for a generalized variable-coefficient nonlinear Schrödinger equation |
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| Wang Huan and Li Biao. Solitons for a generalized variable-coefficient nonlinear Schrödinger equation[J]. Chinese Physics B, 2011, 20(4): 40203-040203. DOI: 10.1088/1674-1056/20/4/040203 |
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| Authors: | Wang Huan and Li Biao |
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| Affiliation: | Department of Mathematics, Ningbo University, Ningbo 315211, China |
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| Abstract: | In this paper, we investigate some exact soliton solutions for a generalized variable-coefficients nonlinear Schrödinger equation (NLS) with an arbitrary time-dependent linear potential which describes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein condensations. Under some reasonable assumptions, one-soliton and two-soliton solutions are constructed analytically by the Hirota method. From our results, some previous one- and two-soliton solutions for some NLS-type equations can be recovered by some appropriate selection of the various parameters. Some figures are given to demonstrate some properties of the one- and the two-soliton and the discussion about the integrability property and the Hirota method is given finally. |
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| Keywords: | generalized NLS equation Hirota method solitons |
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