Nonlocal general vector nonlinear Schrodinger equations: Integrability, PT symmetribility, and solutions

doi:10.1016/j.aml.2016.07.010

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	Nonlocal general vector nonlinear Schrodinger equations: Integrability, PT symmetribility, and solutions
	Yan, Zhenya
	2016-12-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	62 页码:101-109
摘要	A family of new one-parameter (epsilon(x) = +/- 1) nonlinear wave models (called G(epsilon x)((nm)) model) is presented, including both the local (epsilon(x) = 1) and new integrable nonlocal (epsilon(x) = -1) general vector nonlinear Schrodinger (VNLS) equations with the self phase, cross-phase, and multi-wave mixing modulations. The nonlocal G(-1)((nm)) model is shown to possess the Lax pair and infinite number of conservation laws for m = 1. We also establish a connection between the G(epsilon x)((nm)) model and some known models. Some symmetric reductions and exact solutions (e.g., bright, dark, and mixed bright dark solitons) of the representative nonlocal systems are also found. Moreover, we find that the new general two-parameter (epsilon(x), epsilon(t)) model (called G(epsilon x-epsilon t)((nm)) model) including the G(epsilon x)((nm)) model is invariant under the PT-symmetric transformation and the PT symmetribility of its self-induced potentials is discussed for the distinct two parameters (epsilon(x), epsilon(t)) = (+/- 1, +/- 1). 2016 Elsevier Ltd. All rights reserved.
关键词	Nonlocal general VNLS equations Lax pair Conservation laws PT symmetribility Symmetry reductions Exact solutions Solitons
DOI	10.1016/j.aml.2016.07.010
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000384781400015
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/23652
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 Mechanizat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yan, Zhenya. Nonlocal general vector nonlinear Schrodinger equations: Integrability, PT symmetribility, and solutions[J]. APPLIED MATHEMATICS LETTERS,2016,62:101-109.
APA	Yan, Zhenya.(2016).Nonlocal general vector nonlinear Schrodinger equations: Integrability, PT symmetribility, and solutions.APPLIED MATHEMATICS LETTERS,62,101-109.
MLA	Yan, Zhenya."Nonlocal general vector nonlinear Schrodinger equations: Integrability, PT symmetribility, and solutions".APPLIED MATHEMATICS LETTERS 62(2016):101-109.