Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations

doi:10.1098/rspa.2020.0752

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	Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations
	Zhang, Yingnan 1; Hu, Xingbiao 2,3; Sun, Jianqing 4
	2021-01-27
发表期刊	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN	1364-5021
卷号	477 期号:2245 页码:21
摘要	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.
关键词	N-periodic wave solution coupled KdV-Toda-type equation Riemann's -function the direct method
DOI	10.1098/rspa.2020.0752
收录类别	SCI
语种	英语
资助项目	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研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000610600600001
出版者	ROYAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58065
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Jianqing
作者单位	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
推荐引用方式 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.