KMS Of Academy of mathematics and systems sciences, CAS
Infinitely many stationary solutions of discrete vector nonlinear Schrodinger equation with symmetry | |
Yang, Minbo1,2; Zhao, Fukun3; Ding, Yanheng2 | |
2010-02-15 | |
Source Publication | APPLIED MATHEMATICS AND COMPUTATION |
ISSN | 0096-3003 |
Volume | 215Issue:12Pages:4230-4238 |
Abstract | In this paper we study the existence of stationary solutions for the following discrete vector nonlinear Schrodinger equation i partial derivative phi(n)/partial derivative(t) = -Lambda phi(n) + tau(n)phi(n) - if(n, vertical bar phi(n)vertical bar)phi(n), where phi(n) is a sequence of 2-component vector, i = (0 1 1 0), Delta phi(n) = phi(n+1) + phi(n-1) - 2 phi(n) is the discrete Laplacian in one spatial dimension and sequence tau(n) is assumed to be N-periodic in n, i.e. tau(n+N) = tau(n). We prove the existence of infinitely many nontrivial stationary solutions for this system by variational methods. The same method can also be applied to obtain infinitely many breather solutions for single discrete nonlinear Schrodinger equation. (C) 2009 Elsevier Inc. All rights reserved. |
Keyword | Discrete vector Schrodinger equation Stationary solutions Critical point theory |
DOI | 10.1016/j.amc.2009.12.045 |
Language | 英语 |
Funding Project | ZJNSF[Y7080008] ; ZJNSF[R6090109] ; NSFC[10971194] ; NSFC[10831005] ; YNNSF[2008CD112] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000274719300019 |
Publisher | ELSEVIER SCIENCE INC |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/9802 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Yang, Minbo |
Affiliation | 1.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China 3.Yunnan Normal Univ, Dept Math, Kunming 650092, Peoples R China |
Recommended Citation GB/T 7714 | Yang, Minbo,Zhao, Fukun,Ding, Yanheng. Infinitely many stationary solutions of discrete vector nonlinear Schrodinger equation with symmetry[J]. APPLIED MATHEMATICS AND COMPUTATION,2010,215(12):4230-4238. |
APA | Yang, Minbo,Zhao, Fukun,&Ding, Yanheng.(2010).Infinitely many stationary solutions of discrete vector nonlinear Schrodinger equation with symmetry.APPLIED MATHEMATICS AND COMPUTATION,215(12),4230-4238. |
MLA | Yang, Minbo,et al."Infinitely many stationary solutions of discrete vector nonlinear Schrodinger equation with symmetry".APPLIED MATHEMATICS AND COMPUTATION 215.12(2010):4230-4238. |
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