Deep learning neural networks for the third-order nonlinear Schrodinger equation: bright solitons, breathers, and rogue waves

doi:10.1088/1572-9494/ac1cd9

	Deep learning neural networks for the third-order nonlinear Schrodinger equation: bright solitons, breathers, and rogue waves
	Zhou, Zijian 1,2; Yan, Zhenya 1,2
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2021-10-01
卷号	73 期号:10 页码:9
关键词	third-order nonlinear Schrodinger equation deep learning data-driven solitons data-driven parameter discovery
ISSN号	0253-6102
DOI	10.1088/1572-9494/ac1cd9
英文摘要	The dimensionless third-order nonlinear Schrodinger equation (alias the Hirota equation) is investigated via deep leaning neural networks. In this paper, we use the physics-informed neural networks (PINNs) deep learning method to explore the data-driven solutions (e.g. bright soliton, breather, and rogue waves) of the Hirota equation when the two types of the unperturbated and perturbated (a 2% noise) training data are considered. Moreover, we use the PINNs deep learning to study the data-driven discovery of parameters appearing in the Hirota equation with the aid of bright solitons.
资助项目	National Natural Science Foundation of China[11 925 108] ; National Natural Science Foundation of China[11 731 014]
WOS研究方向	Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000692832500001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59192]
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	Zhou, Zijian,Yan, Zhenya. Deep learning neural networks for the third-order nonlinear Schrodinger equation: bright solitons, breathers, and rogue waves[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2021,73(10):9.
APA	Zhou, Zijian,&Yan, Zhenya.(2021).Deep learning neural networks for the third-order nonlinear Schrodinger equation: bright solitons, breathers, and rogue waves.COMMUNICATIONS IN THEORETICAL PHYSICS,73(10),9.
MLA	Zhou, Zijian,et al."Deep learning neural networks for the third-order nonlinear Schrodinger equation: bright solitons, breathers, and rogue waves".COMMUNICATIONS IN THEORETICAL PHYSICS 73.10(2021):9.