existenceandbifurcationofsolutionsforadoublecoupledsystemofschrodingerequations
文献类型：期刊论文
| 作者 | Tian Rushun; Zhang Zhitao
|
| 刊名 | sciencechinamathematics
 |
| 出版日期 | 2015 |
| 卷号 | 58期号:8页码:1607 |
| ISSN号 | 1674-7283 |
| 英文摘要 | Consider the following system of double coupled Schrodinger equations arising from Bose-Einstein condensates etc.,{-△u+u=μ_1u~3+βuv~2-κv,-△v+v=μ_2v~3+βu~2v-κu,u≠0,v≠0 and u,v∈H~1(R~N),where μ_1,μ_2 are positive and fixed; κ and β 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 -△ω+ω=ω~3,ω∈H_r~1(R~N),we construct a synchronized solution branch to prove that for β in certain range and fixed,there exist a series of bifurcations in product space R×H_r~1(R~N)×H_r~1(R~N)with parameter κ. |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/46363]  |
| 专题 | 数学所 |
| 作者单位 | 中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Tian Rushun,Zhang Zhitao. existenceandbifurcationofsolutionsforadoublecoupledsystemofschrodingerequations[J]. sciencechinamathematics,2015,58(8):1607. |
| APA | Tian Rushun,&Zhang Zhitao.(2015).existenceandbifurcationofsolutionsforadoublecoupledsystemofschrodingerequations.sciencechinamathematics,58(8),1607. |
| MLA | Tian Rushun,et al."existenceandbifurcationofsolutionsforadoublecoupledsystemofschrodingerequations".sciencechinamathematics 58.8(2015):1607. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。