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

文献类型：期刊论文

作者Thang, Yingnan1; Hu, Xingbiao2,3; He, Yi4; Sun, Jianqing5
刊名COMMUNICATIONS IN COMPUTATIONAL PHYSICS
出版日期2019-08-01
卷号26期号:2页码:579-598
关键词Toda-type equation N-periodicwave solution Riemann's theta-function Gauss-Newton method
ISSN号1815-2406
DOI10.4208/cicp.OA-2018-0157
英文摘要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.
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
语种英语
WOS记录号WOS:000463352200010
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/34339]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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