SEGREGATED VECTOR SOLUTIONS FOR NONLINEAR SCHRÖDINGER SYSTEMS IN R2

doi:10.1016/S0252-9602(15)60010-8

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (2): 383-398.doi: 10.1016/S0252-9602(15)60010-8

SEGREGATED VECTOR SOLUTIONS FOR NONLINEAR SCHRÖDINGER SYSTEMS IN R²

王春花, 谢定一, 占丽萍, 张李攀, 赵良珮

School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China

收稿日期:2013-05-07 修回日期:2014-04-15 出版日期:2015-03-20 发布日期:2015-03-20
通讯作者: Chunhua WANG School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China E-mail: chunhuawang@mail.ccnu.edu.cn E-mail:chunhuawang@mail.ccnu.edu.cn
基金资助:
The authors sincerely thank Professor S. Peng for helpful discussions and suggestions. This work was partially supported by National College Students Innovation Training Project (48), the fund from NSFC (11301204), and the phD specialized grant of the Ministry of Education of China (20110144110001).

SEGREGATED VECTOR SOLUTIONS FOR NONLINEAR SCHRÖDINGER SYSTEMS IN R²

Chunhua WANG, Dingyi XIE, Liping ZHAN, Lipan ZHANG, Liangpei ZHAO

School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China

Received:2013-05-07 Revised:2014-04-15 Online:2015-03-20 Published:2015-03-20
Contact: Chunhua WANG School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China E-mail: chunhuawang@mail.ccnu.edu.cn E-mail:chunhuawang@mail.ccnu.edu.cn
Supported by:
The authors sincerely thank Professor S. Peng for helpful discussions and suggestions. This work was partially supported by National College Students Innovation Training Project (48), the fund from NSFC (11301204), and the phD specialized grant of the Ministry of Education of China (20110144110001).

摘要/Abstract

摘要：

We study the following nonlinear Schrödinger system

where P(r) and Q(r) are positive radial functions, μ >0,ν >0, and β∈R is a coupling constant. This type of system arises, particularly, in models in Bose-Einstein condensates theory. Applying a finite reduction method, we construct an unbounded sequence of nonradial positive vector solutions of segregated type when β is in some suitable interval, which gives an answer to an interesting problem raised by Peng and Wang in Remark 4.1 (Arch. Ration. Mech. Anal., 208(2013), 305-339).

关键词: Segregated vector solutions, nonlinear Schrö, dinger systems

Abstract:

Key words: Segregated vector solutions, nonlinear Schrö, dinger systems

中图分类号:

35J10

王春花, 谢定一, 占丽萍, 张李攀, 赵良珮. SEGREGATED VECTOR SOLUTIONS FOR NONLINEAR SCHRÖDINGER SYSTEMS IN R²[J]. 数学物理学报(英文版), 2015, 35(2): 383-398.

Chunhua WANG, Dingyi XIE, Liping ZHAN, Lipan ZHANG, Liangpei ZHAO. SEGREGATED VECTOR SOLUTIONS FOR NONLINEAR SCHRÖDINGER SYSTEMS IN R²[J]. Acta mathematica scientia,Series B, 2015, 35(2): 383-398.

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SEGREGATED VECTOR SOLUTIONS FOR NONLINEAR SCHRÖDINGER SYSTEMS IN R²

SEGREGATED VECTOR SOLUTIONS FOR NONLINEAR SCHRÖDINGER SYSTEMS IN R²

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