Integrable nonlocal derivative nonlinear Schr?dinger equations
Ablowitz,Mark J1; Luo,Xu-Dan2; Musslimani,Ziad H3; Zhu,Yi4,5
Source PublicationInverse Problems
AbstractAbstract 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.
Keywordinverse scattering transform Riemann–Hilbert problems Gel’fand–Levitan–Marchenko equations the derivative NLS equations solitons
WOS IDIOP:ip_38_6_065003
PublisherIOP Publishing
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Document Type期刊论文
Corresponding AuthorLuo,Xu-Dan
Affiliation1.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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