KMS Of Academy of mathematics and systems sciences, CAS
| Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants | |
Zhang, Guoqiang; Yan, Zhenya1 ; Chen, Yong
| |
| 2017-07-01 | |
| Source Publication | APPLIED MATHEMATICS LETTERS
 |
| ISSN | 0893-9659 |
| Volume | 69Pages:113-120 |
| Abstract | 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. |
| Keyword | Integrable nonlocal nonlinear schrodinger equation Lax pair Loop group method Generalized darboux transformation Higher-order rational solitons |
| DOI | 10.1016/j.aml.2017.02.002 |
| Language | 英语 |
| Funding Project | NSFC[11571346] ; Youth Innovation Promotion Association, CAS |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000399506500018 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/25297 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 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 |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment