Stability of standing wave for the fractional nonlinear Schrodinger equation

doi:10.1063/1.5021689

	Stability of standing wave for the fractional nonlinear Schrodinger equation
	Peng, Congming 1; Shi, Qihong 2
刊名	JOURNAL OF MATHEMATICAL PHYSICS
	2018-01
卷号	59 期号:1
ISSN号	0022-2488
DOI	10.1063/1.5021689
英文摘要	In this paper, we study the stability and instability of standing waves for the fractional nonlinear Schrodinger equation i partial derivative(t)u = (-Delta)(s)u - vertical bar u vertical bar(2 sigma) u, where (t, x) is an element of R x R-N, 1/2 < s < 1, and N >= 2. Using a sharp Gagliardo-Nirenberg-type inequality and profile decomposition, we obtain that when 0 < sigma < 2s/N, the standing waves are orbitally stable; when sigma = 2s/N, the ground state solitary waves are strongly unstable to blowup. Published by AIP Publishing.
资助项目	Scientific Research Foundation of Tianshui Normal University[TSY201203]
WOS研究方向	Physics
语种	英语
出版者	AMER INST PHYSICS
WOS记录号	WOS:000424017000008
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32897]
专题	材料科学与工程学院理学院
通讯作者	Peng, Congming
作者单位	1.Tianshui Normal Univ, Sch Math & Stat, Tianshui 741000, Peoples R China 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Peng, Congming,Shi, Qihong. Stability of standing wave for the fractional nonlinear Schrodinger equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2018,59(1).
APA	Peng, Congming,&Shi, Qihong.(2018).Stability of standing wave for the fractional nonlinear Schrodinger equation.JOURNAL OF MATHEMATICAL PHYSICS,59(1).
MLA	Peng, Congming,et al."Stability of standing wave for the fractional nonlinear Schrodinger equation".JOURNAL OF MATHEMATICAL PHYSICS 59.1(2018).