KMS Of Academy of mathematics and systems sciences, CAS
| Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations | |
| Zhang, Yingnan1; Hu, Xingbiao2,3; Sun, Jianqing4 | |
| 2021-01-27 | |
| Source Publication | PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
 |
| ISSN | 1364-5021 |
| Volume | 477Issue:2245Pages:21 |
| Abstract | In this paper, we study the N-periodic wave solutions of coupled Korteweg-de Vries (KdV)-Toda-type equations. We present a numerical process to calculate the N-periodic waves based on the direct method of calculating periodic wave solutions proposed by Akira Nakamura. Particularly, in the case of N=3, we give some detailed examples to show the N-periodic wave solutions to the coupled Ramani equation, the Hirota-Satsuma coupled KdV equation, the coupled Ito equation, the Blaszak-Marciniak lattice, the semi-discrete KdV equation, the Leznov lattice and a relativistic Toda lattice. |
| Keyword | N-periodic wave solution coupled KdV-Toda-type equation Riemann's -function the direct method |
| DOI | 10.1098/rspa.2020.0752 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11571358] ; National Natural Science Foundation of China[11931017] ; National Natural Science Foundation of China[11871336] ; National Natural Science Foundation of China[12071447] ; National Natural Science Foundation of China[11971473] ; National Natural Science Foundation of China[11871444] ; National Natural Science Foundation of China[11731014] ; Fundamental Research Funds for the Central Universities[201964008] |
| WOS Research Area | Science & Technology - Other Topics |
| WOS Subject | Multidisciplinary Sciences |
| WOS ID | WOS:000610600600001 |
| Publisher | ROYAL SOC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58065 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Sun, Jianqing |
| Affiliation | 1.Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing, 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, Peoples R China |
| Recommended Citation GB/T 7714 | Zhang, Yingnan,Hu, Xingbiao,Sun, Jianqing. Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2021,477(2245):21. |
| APA | Zhang, Yingnan,Hu, Xingbiao,&Sun, Jianqing.(2021).Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,477(2245),21. |
| MLA | Zhang, Yingnan,et al."Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 477.2245(2021):21. |
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