Nonlocal general vector nonlinear Schrodinger equations: Integrability, PT symmetribility, and solutions
文献类型：期刊论文
| 作者 | Yan, Zhenya
|
| 刊名 | APPLIED MATHEMATICS LETTERS
 |
| 出版日期 | 2016-12-01 |
| 卷号 | 62页码:101-109 |
| ISSN号 | 0893-9659 |
| 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 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| WOS记录号 | WOS:000384781400015 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23651]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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