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

doi:10.1088/1751-8121/aba85e

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	Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation
	Hu, Xingbiao 1,2; Pan, Yan 3; Sun, Jianqing 4; Wang, Hui 1,2; Zhang, Yingnan 5
	2020-10-02
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	53 期号:39 页码:23
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.
关键词	mKdV-sine-Gordon equation 3-periodic wave solution integrable discre-tization
DOI	10.1088/1751-8121/aba85e
收录类别	SCI
语种	英语
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
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000568291600001
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52140
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.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Nanchang Univ, Dept Math, Nanchang, Jiangxi, Peoples R China 4.Ocean Univ China, Sch Math Sci, Qingdao, Shandong, Peoples R China 5.Nanjing Normal Univ, Jiangsu Key Lab NSLSCS, Sch Math Sci, Nanjing, Jiangsu, 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.