Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source
文献类型：期刊论文
| 作者 | Yan, Zhenya
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2015-03-15 |
| 卷号 | 423期号:2页码:1370-1399 |
| 关键词 | The generalized Gross-Pitaevskii equation Bose-Einstein condensates Varying source Non-trivial phase solutions Solitary wave solutions Periodic wave solutions |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2014.10.060 |
| 英文摘要 | In this paper, the one-dimensional generalized Gross-Pitaevskii (GP) equation with the varying external potential and source which plays an important role in Bose-Einstein condensates is investigated. For the different types of external potentials, based on some powerful transformation methods with different types of expressions in Jacobi elliptic functions or polynomial functions, many types of matter-wave solutions with traveling-wave and non-trivial phases are found for the generalized GP equation with the external potential and source. These matter-wave solutions contain the doubly periodic wave solutions, solitary wave solutions, periodic wave solutions and the bounded rational solutions. Moreover, we analyze the properties of some obtained solutions and the corresponding potentials on the basis of the different parameters including the source amplitude. These results may be useful to explain some nonlinear wave phenomena in Bose-Einstein condensates, and nonlinear optics. (C) 2014 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000359756100029 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20603]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Zhenya. Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2015,423(2):1370-1399. |
| APA | Yan, Zhenya.(2015).Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,423(2),1370-1399. |
| MLA | Yan, Zhenya."Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 423.2(2015):1370-1399. |
入库方式： OAI收割
来源：数学与系统科学研究院
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