Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source

doi:10.1016/j.jmaa.2014.10.060

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	Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source
	Yan, Zhenya
	2015-03-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	423 期号:2 页码:1370-1399
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.
关键词	The generalized Gross-Pitaevskii equation Bose-Einstein condensates Varying source Non-trivial phase solutions Solitary wave solutions Periodic wave solutions
DOI	10.1016/j.jmaa.2014.10.060
语种	英语
资助项目	NSFC of China[61178091] ; NKBRPC[2011CB302400]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000359756100029
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20604
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.