KMS Of Academy of mathematics and systems sciences, CAS
Integrable nonlocal derivative nonlinear Schr?dinger equations | |
Ablowitz,Mark J1; Luo,Xu-Dan2; Musslimani,Ziad H3; Zhu,Yi4,5 | |
2022-04-19 | |
Source Publication | Inverse Problems
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ISSN | 0266-5611 |
Volume | 38Issue:6 |
Abstract | Abstract Integrable standard and nonlocal derivative nonlinear Schr?dinger equations are investigated. The direct and inverse scattering are constructed for these equations; included are both the Riemann–Hilbert and Gel’fand–Levitan–Marchenko approaches and soliton solutions. As a typical application, it is shown how these derivative NLS equations can be obtained as asymptotic limits from a nonlinear Klein–Gordon equation. |
Keyword | inverse scattering transform Riemann–Hilbert problems Gel’fand–Levitan–Marchenko equations the derivative NLS equations solitons |
DOI | 10.1088/1361-6420/ac5f75 |
Language | 英语 |
WOS ID | IOP:ip_38_6_065003 |
Publisher | IOP Publishing |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60267 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Luo,Xu-Dan |
Affiliation | 1.Department of Applied Mathematics, University of Colorado, Boulder, CO 80309-0526, United States of America 2.Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 3.Department of Mathematics, Florida State University, Tallahassee, FL 32306-4510, United States of America 4.Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, People’s Republic of China 5.Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing 101408, People’s Republic of China |
Recommended Citation GB/T 7714 | Ablowitz,Mark J,Luo,Xu-Dan,Musslimani,Ziad H,et al. Integrable nonlocal derivative nonlinear Schr?dinger equations[J]. Inverse Problems,2022,38(6). |
APA | Ablowitz,Mark J,Luo,Xu-Dan,Musslimani,Ziad H,&Zhu,Yi.(2022).Integrable nonlocal derivative nonlinear Schr?dinger equations.Inverse Problems,38(6). |
MLA | Ablowitz,Mark J,et al."Integrable nonlocal derivative nonlinear Schr?dinger equations".Inverse Problems 38.6(2022). |
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