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

文献类型：期刊论文

作者Tian RuShun; Zhang ZhiTao1
刊名SCIENCE CHINA-MATHEMATICS
出版日期2015-08-01
卷号58期号:8页码:1607-1620
关键词bifurcation system of Schrodinger equations positive solution synchronized solution branch
ISSN号1674-7283
DOI10.1007/s11425-015-5028-y
英文摘要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.
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
语种英语
WOS记录号WOS:000358172300002
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/20425]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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