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A numerical study of the 3-periodic wave solutions to toda-type equations
Thang, Yingnan1; Hu, Xingbiao2,3; He, Yi4; Sun, Jianqing5
刊名Communications in computational physics
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
通讯作者Sun, jianqing(sunjq@lsec.cc.ac.cn)
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.
WOS关键词QUASI-PERIODIC SOLUTIONS ; ALGEBRO-GEOMETRIC CONSTRUCTIONS ; NONLINEAR EVOLUTION-EQUATIONS ; HYPERELLIPTIC THETA-FUNCTIONS ; KDV
WOS研究方向Physics
WOS类目Physics, Mathematical
语种英语
出版者GLOBAL SCIENCE PRESS
WOS记录号WOS:000463352200010
内容类型期刊论文
URI标识http://www.corc.org.cn/handle/1471x/2373160
专题武汉植物园
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.
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