Integrable nonlocal derivative nonlinear Schr?dinger equations

doi:10.1088/1361-6420/ac5f75

	Integrable nonlocal derivative nonlinear Schr?dinger equations
	Ablowitz,Mark J 5; Luo,Xu-Dan 4; Musslimani,Ziad H 3; Zhu,Yi 1,2
刊名	Inverse Problems
	2022-04-19
卷号	38 期号:6
关键词	inverse scattering transform Riemann–Hilbert problems Gel’fand–Levitan–Marchenko equations the derivative NLS equations solitons
ISSN号	0266-5611
DOI	10.1088/1361-6420/ac5f75
英文摘要	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.
语种	英语
出版者	IOP Publishing
WOS记录号	IOP:IP_38_6_065003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60266]
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.Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing 101408, People’s Republic of China 2.Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, People’s Republic of China 3.Department of Mathematics, Florida State University, Tallahassee, FL 32306-4510, United States of America 4.Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 5.Department of Applied Mathematics, University of Colorado, Boulder, CO 80309-0526, United States of America
推荐引用方式 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).