Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning

doi:10.1016/j.physleta.2021.127408

	Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning
	Wang, Li 1,2; Yan, Zhenya 1,2
刊名	PHYSICS LETTERS A
	2021-07-19
卷号	404 页码:7
关键词	Defocusing NLS equation with the time-dependent potential Initial-boundary value conditions Physics-informed neural networks Deep learning Data-driven rogue waves and parameter discovery
ISSN号	0375-9601
DOI	10.1016/j.physleta.2021.127408
英文摘要	The physics-informed neural networks (PINNs) can be used to deep learn the nonlinear partial differential equations and other types of physical models. In this paper, we use the multi-layer PINN deep learning method to study the data-driven rogue wave solutions of the defocusing nonlinear Schrodinger (NLS) equation with the time-dependent potential by considering several initial conditions such as the rogue wave, Jacobi elliptic cosine function, two-Gaussian function, or three-hyperbolic-secant function, and periodic boundary conditions. Moreover, the multi-layer PINN algorithm can also be used to learn the parameter in the defocusing NLS equation with the time-dependent potential under the sense of the rogue wave solution. These results will be useful to further discuss the rogue wave solutions of the defocusing NLS equation with a potential in the study of deep learning neural networks. (C) 2021 Elsevier B.V. All rights reserved.
资助项目	National Natural Science Foundation of China[11731014] ; National Natural Science Foundation of China[11925108]
WOS研究方向	Physics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000649676900001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58641]
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, Zhenya
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Li,Yan, Zhenya. Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning[J]. PHYSICS LETTERS A,2021,404:7.
APA	Wang, Li,&Yan, Zhenya.(2021).Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning.PHYSICS LETTERS A,404,7.
MLA	Wang, Li,et al."Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning".PHYSICS LETTERS A 404(2021):7.