A numerical study of the 3-periodic wave solutions to KdV-type equations

doi:10.1016/j.jcp.2017.11.027

	A numerical study of the 3-periodic wave solutions to KdV-type equations
	Zhang, Yingnan 1; Hu, Xingbiao2,3 ; Sun, Jianqing 4
	2018-02-15
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	355 页码:566-581
摘要	In this paper, by using the direct method of calculating periodic wave solutions proposed by Akira Nakamura, we present a numerical process to calculate the 3-periodic wave solutions to several KdV-type equations: the Korteweg-de Vries equation, the Sawada-Koterra equation, the Boussinesq equation, the Ito equation, the Hietarinta equation and the (2 + 1)-dimensional Kadomtsev-Petviashvili equation. Some detailed numerical examples are given to show the existence of the three-periodic wave solutions numerically. (c) 2017 Elsevier Inc. All rights reserved.
关键词	KdV-type equation 3-periodic wave solution Riemann's theta-function Gauss-Newton method
DOI	10.1016/j.jcp.2017.11.027
语种	英语
资助项目	National Natural Science Foundation of China[11401546] ; National Natural Science Foundation of China[11601237] ; National Natural Science Foundation of China[11571358] ; National Natural Science Foundation of China[11331008] ; Natural Science Foundation of Jiangsu Province Colleges and Universities[16KJB110014] ; Jiangsu Planned Projects for Postdoctoral Research Funds[1601054A] ; Fundamental Research Funds for the Central Universities[201562012] ; Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000418537400029
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27007
专题	计算数学与科学工程计算研究所
通讯作者	Sun, Jianqing
作者单位	1.Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 4.Ocean Univ China, Sch Math Sci, Qingdao, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Yingnan,Hu, Xingbiao,Sun, Jianqing. A numerical study of the 3-periodic wave solutions to KdV-type equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2018,355:566-581.
APA	Zhang, Yingnan,Hu, Xingbiao,&Sun, Jianqing.(2018).A numerical study of the 3-periodic wave solutions to KdV-type equations.JOURNAL OF COMPUTATIONAL PHYSICS,355,566-581.
MLA	Zhang, Yingnan,et al."A numerical study of the 3-periodic wave solutions to KdV-type equations".JOURNAL OF COMPUTATIONAL PHYSICS 355(2018):566-581.