Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants
文献类型：期刊论文
| 作者 | Zhang, Guoqiang; Yan, Zhenya1 ; Chen, Yong
|
| 刊名 | APPLIED MATHEMATICS LETTERS
 |
| 出版日期 | 2017-07-01 |
| 卷号 | 69页码:113-120 |
| 关键词 | Integrable nonlocal nonlinear schrodinger equation Lax pair Loop group method Generalized darboux transformation Higher-order rational solitons |
| ISSN号 | 0893-9659 |
| DOI | 10.1016/j.aml.2017.02.002 |
| 英文摘要 | We investigate the defocusing integrable nonlocal nonlinear Schrodinger (nNLS) equation using the loop group method and perturbation expansion idea. The associated N-fold Darboux transformation is presented in terms of the simple determinants. As the application of the N-fold Darboux transformation, we find the higher-order rational solitons of the nNLS equation, which exhibit many new types of soliton structures. Moreover, we also numerically study the stability of some rational solitons. The results are useful to explain the corresponding wave phenomena in nonlocal wave models. (C) 2017 Elsevier Ltd. All rights reserved. |
| 资助项目 | NSFC[11571346] ; Youth Innovation Promotion Association, CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000399506500018 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25296]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mech, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Guoqiang,Yan, Zhenya,Chen, Yong. Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants[J]. APPLIED MATHEMATICS LETTERS,2017,69:113-120. |
| APA | Zhang, Guoqiang,Yan, Zhenya,&Chen, Yong.(2017).Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants.APPLIED MATHEMATICS LETTERS,69,113-120. |
| MLA | Zhang, Guoqiang,et al."Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants".APPLIED MATHEMATICS LETTERS 69(2017):113-120. |
入库方式： OAI收割
来源：数学与系统科学研究院
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