Existence and bifurcation of solutions for a double coupled system of Schrodinger equations | |
Tian RuShun; Zhang ZhiTao1 | |
2015-08-01 | |
Source Publication | SCIENCE CHINA-MATHEMATICS |
ISSN | 1674-7283 |
Volume | 58Issue:8Pages:1607-1620 |
Abstract | Consider the following system of double coupled Schrodinger equations arising from Bose-Einstein condensates etc., where A mu(1), A mu(2) are positive and fixed; kappa and beta are linear and nonlinear coupling parameters respectively. We first use critical point theory and Liouville type theorem to prove some existence and nonexistence results on the positive solutions of this system. Then using the positive and non-degenerate solution to the scalar equation -I"omega + omega = omega (3), omega a H (r) (1) (a"e (N) ), we construct a synchronized solution branch to prove that for beta in certain range and fixed, there exist a series of bifurcations in product space a"e x H (r) (1) (a"e (N) ) x H (r) (1) (a"e (N) ) with parameter kappa. |
Keyword | bifurcation system of Schrodinger equations positive solution synchronized solution branch |
DOI | 10.1007/s11425-015-5028-y |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[11325107] ; National Natural Science Foundation of China[11271353] ; National Natural Science Foundation of China[11331010] ; China Postdoctoral Science Foundation |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000358172300002 |
Publisher | SCIENCE PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/20426 |
Collection | 数学所 |
Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, HUA Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
Recommended Citation GB/T 7714 | Tian RuShun,Zhang ZhiTao. Existence and bifurcation of solutions for a double coupled system of Schrodinger equations[J]. SCIENCE CHINA-MATHEMATICS,2015,58(8):1607-1620. |
APA | Tian RuShun,&Zhang ZhiTao.(2015).Existence and bifurcation of solutions for a double coupled system of Schrodinger equations.SCIENCE CHINA-MATHEMATICS,58(8),1607-1620. |
MLA | Tian RuShun,et al."Existence and bifurcation of solutions for a double coupled system of Schrodinger equations".SCIENCE CHINA-MATHEMATICS 58.8(2015):1607-1620. |
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