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Integrable PT-symmetric local and nonlocal vector nonlinear Schrodinger equations: A unified two-parameter model
Yan, Zhenya
2015-09-01
Source PublicationAPPLIED MATHEMATICS LETTERS
ISSN0893-9659
Volume47Pages:61-68
AbstractWe 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.
KeywordTwo-parameter family of nonlocal vector nonlinear Schrodinger equations Lax pair Conservation laws PT symmetry Solitons
DOI10.1016/j.aml.2015.02.025
Language英语
Funding ProjectNSFC[61178091] ; NKBRPC[2011CB302400]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000355374700010
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:60[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19914
Collection系统科学研究所
AffiliationChinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100190, Peoples R China
Recommended Citation
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.
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