Integrable PT-symmetric local and nonlocal vector nonlinear Schrodinger equations: A unified two-parameter model

doi:10.1016/j.aml.2015.02.025

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	Integrable PT-symmetric local and nonlocal vector nonlinear Schrodinger equations: A unified two-parameter model
	Yan, Zhenya
	2015-09-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	47 页码:61-68
摘要	We introduce a new unified two-parameter {(is an element of(x), is an element of(t)) vertical bar is an element of(x,t) = +/- 1} wave model (simply called Q(is an element of x,is an element of t)((n)) model), connecting integrable local and nonlocal vector nonlinear Schrodinger equations. The two-parameter (is an element of(x), is an element of(t)) family also brings insight into a one-to-one connection between four points (is an element of(x), is an element of(t)) (or complex numbers is an element of(x) +i(is an element of t)) with {I, P, T,PT} symmetries for the first time. The Q(is an element of x,is an element of t)((n)) model is shown to possess a Lax pair and infinite number of conservation laws, and to be PT symmetric. Moreover, the Hamiltonians with self-induced potentials are shown to be PT symmetric only for Q(-1,-1)((n)) model and to be T symmetric only for model. The multi-linear form and some self-similar solutions are also given for the Q(is an element of x,is an element of t)((n)) model including bright and dark solitons, periodic wave solutions, and multi-rogue wave solutions. (C) 2015 Elsevier Ltd. All rights reserved.
关键词	Two-parameter family of nonlocal vector nonlinear Schrodinger equations Lax pair Conservation laws PT symmetry Solitons
DOI	10.1016/j.aml.2015.02.025
语种	英语
资助项目	NSFC[61178091] ; NKBRPC[2011CB302400]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000355374700010
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19914
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yan, Zhenya. Integrable PT-symmetric local and nonlocal vector nonlinear Schrodinger equations: A unified two-parameter model[J]. APPLIED MATHEMATICS LETTERS,2015,47:61-68.
APA	Yan, Zhenya.(2015).Integrable PT-symmetric local and nonlocal vector nonlinear Schrodinger equations: A unified two-parameter model.APPLIED MATHEMATICS LETTERS,47,61-68.
MLA	Yan, Zhenya."Integrable PT-symmetric local and nonlocal vector nonlinear Schrodinger equations: A unified two-parameter model".APPLIED MATHEMATICS LETTERS 47(2015):61-68.