Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation

doi:10.1088/1751-8121/aba85e

	Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation
	Hu, Xingbiao 2,5; Pan, Yan 1; Sun, Jianqing 4; Wang, Hui 2,5; Zhang, Yingnan 3
刊名	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
	2020-10-02
卷号	53 期号:39 页码:23
关键词	mKdV-sine-Gordon equation 3-periodic wave solution integrable discre-tization
ISSN号	1751-8113
DOI	10.1088/1751-8121/aba85e
英文摘要	The main results of this paper are two numerical algorithms of a physically-interesting mKdV-sine-Gordon model. One is a numerical scheme to calculate the 3-periodic wave solutions (expressed in terms of special theta functions) of the model under consideration. The other is an efficient numerical scheme to numerically solve the model through the interpretation of Backlund transformations as discrete time integrable systems.
资助项目	National Natural Science Foundation of China[11931017] ; National Natural Science Foundation of China[11871336,11971473] ; Fundamental Research Funds for the Central Universities[201964008]
WOS研究方向	Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000568291600001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52139]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Yingnan
作者单位	1.Nanchang Univ, Dept Math, Nanchang, Jiangxi, Peoples R China 2.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China 3.Nanjing Normal Univ, Jiangsu Key Lab NSLSCS, Sch Math Sci, Nanjing, Jiangsu, Peoples R China 4.Ocean Univ China, Sch Math Sci, Qingdao, Shandong, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Hu, Xingbiao,Pan, Yan,Sun, Jianqing,et al. Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2020,53(39):23.
APA	Hu, Xingbiao,Pan, Yan,Sun, Jianqing,Wang, Hui,&Zhang, Yingnan.(2020).Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,53(39),23.
MLA	Hu, Xingbiao,et al."Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 53.39(2020):23.