Infinitely many stationary solutions of discrete vector nonlinear Schrodinger equation with symmetry

doi:10.1016/j.amc.2009.12.045

	Infinitely many stationary solutions of discrete vector nonlinear Schrodinger equation with symmetry
	Yang, Minbo 1,2; Zhao, Fukun 3; Ding, Yanheng 2
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2010-02-15
卷号	215 期号:12 页码:4230-4238
关键词	Discrete vector Schrodinger equation Stationary solutions Critical point theory
ISSN号	0096-3003
DOI	10.1016/j.amc.2009.12.045
英文摘要	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.
资助项目	ZJNSF[Y7080008] ; ZJNSF[R6090109] ; NSFC[10971194] ; NSFC[10831005] ; YNNSF[2008CD112]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000274719300019
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9801]
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Minbo
作者单位	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
推荐引用方式 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.