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Integrable nonlocal derivative nonlinear Schrodinger equations
Ablowitz, Mark J.1; Luo, Xu-Dan2; Musslimani, Ziad H.3; Zhu, Yi4,5
2022-06-01
Source PublicationINVERSE PROBLEMS
ISSN0266-5611
Volume38Issue:6Pages:34
AbstractIntegrable standard and nonlocal derivative nonlinear Schrodinger 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
DOI10.1088/1361-6420/ac5f75
Indexed BySCI
Language英语
Funding ProjectNSF[DMS-2005343] ; NSFC[11871299]
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000784121800001
PublisherIOP Publishing Ltd
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60338
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLuo, Xu-Dan
Affiliation1.Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA
2.Chinese Acad Sci, Key Lab Math Mech, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Florida State Univ, Dept Math, Tallahassee, FL 32306 USA
4.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
5.Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R China
Recommended Citation
GB/T 7714
Ablowitz, Mark J.,Luo, Xu-Dan,Musslimani, Ziad H.,et al. Integrable nonlocal derivative nonlinear Schrodinger equations[J]. INVERSE PROBLEMS,2022,38(6):34.
APA Ablowitz, Mark J.,Luo, Xu-Dan,Musslimani, Ziad H.,&Zhu, Yi.(2022).Integrable nonlocal derivative nonlinear Schrodinger equations.INVERSE PROBLEMS,38(6),34.
MLA Ablowitz, Mark J.,et al."Integrable nonlocal derivative nonlinear Schrodinger equations".INVERSE PROBLEMS 38.6(2022):34.
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