KMS Of Academy of mathematics and systems sciences, CAS
Integrable PT-symmetric local and nonlocal vector nonlinear Schrodinger equations: A unified two-parameter model | |
Yan, Zhenya | |
2015-09-01 | |
Source Publication | APPLIED MATHEMATICS LETTERS |
ISSN | 0893-9659 |
Volume | 47Pages:61-68 |
Abstract | 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. |
Keyword | Two-parameter family of nonlocal vector nonlinear Schrodinger equations Lax pair Conservation laws PT symmetry Solitons |
DOI | 10.1016/j.aml.2015.02.025 |
Language | 英语 |
Funding Project | NSFC[61178091] ; NKBRPC[2011CB302400] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000355374700010 |
Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/19914 |
Collection | 系统科学研究所 |
Affiliation | Chinese 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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