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 |
| DOI | 10.4208/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 |
| WOS记录号 | WOS:000463352200010 |
| 出版者 | GLOBAL SCIENCE PRESS |
| URI标识 | http://www.irgrid.ac.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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