Existence and bifurcation of solutions for a double coupled system of Schrodinger equations

doi:10.1007/s11425-015-5028-y

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	Existence and bifurcation of solutions for a double coupled system of Schrodinger equations
	Tian RuShun ; Zhang ZhiTao1
	2015-08-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	58 期号:8 页码:1607-1620
摘要	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.
关键词	bifurcation system of Schrodinger equations positive solution synchronized solution branch
DOI	10.1007/s11425-015-5028-y
语种	英语
资助项目	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研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000358172300002
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20426
专题	数学所
通讯作者	Zhang ZhiTao
作者单位	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
推荐引用方式 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.