A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations

doi:10.4208/cicp.OA-2018-0157

	A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations
	Thang, Yingnan 1; Hu, Xingbiao2,3 ; He, Yi 4; Sun, Jianqing 5
	2019-08-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	26 期号:2 页码:579-598
摘要	In this paper, we present an efficient numerical scheme to calculate N-periodic wave solutions to the Toda-type equations. The starting point is the algebraic condition for having N-periodic wave solutions proposed by Akira Nakamura. The basic idea is to formulate the condition as a nonlinear least square problem and then use the Gauss-Newton method to solve it. By use of this numerical scheme, we calculate the 3-periodic wave solutions to some discrete integrable equations such as the Toda lattice equation, the Lotka-Volterra equation, the differential-difference KP equation and so on.
关键词	Toda-type equation N-periodicwave solution Riemann's theta-function Gauss-Newton method
DOI	10.4208/cicp.OA-2018-0157
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[11871336] ; 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] ; Youth Innovation Promotion Association CAS - Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000463352200010
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34340
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, 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.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan, Hubei, Peoples R China 5.Ocean Univ China, Sch Math Sci, Qingdao, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Thang, Yingnan,Hu, Xingbiao,He, Yi,et al. A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2019,26(2):579-598.
APA	Thang, Yingnan,Hu, Xingbiao,He, Yi,&Sun, Jianqing.(2019).A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,26(2),579-598.
MLA	Thang, Yingnan,et al."A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 26.2(2019):579-598.