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Integrable nonlocal derivative nonlinear Schr?dinger equations
Ablowitz,Mark J1; Luo,Xu-Dan2; Musslimani,Ziad H3; Zhu,Yi4,5
2022-04-19
发表期刊Inverse Problems
ISSN0266-5611
卷号38期号:6
摘要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.
关键词inverse scattering transform Riemann–Hilbert problems Gel’fand–Levitan–Marchenko equations the derivative NLS equations solitons
DOI10.1088/1361-6420/ac5f75
语种英语
WOS记录号IOP:ip_38_6_065003
出版者IOP Publishing
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/60267
专题中国科学院数学与系统科学研究院
通讯作者Luo,Xu-Dan
作者单位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
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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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