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
Source Publication	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
Volume	53 Issue:39 Pages:23
Abstract	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.
Keyword	mKdV-sine-Gordon equation 3-periodic wave solution integrable discre-tization
DOI	10.1088/1751-8121/aba85e
Indexed By	SCI
Language	英语
Funding Project	National Natural Science Foundation of China[11931017] ; National Natural Science Foundation of China[11871336,11971473] ; Fundamental Research Funds for the Central Universities[201964008]
WOS Research Area	Physics
WOS Subject	Physics, Multidisciplinary ; Physics, Mathematical
WOS ID	WOS:000568291600001
Publisher	IOP PUBLISHING LTD
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/52140
Collection	中国科学院数学与系统科学研究院
Corresponding Author	Zhang, Yingnan
Affiliation	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
Recommended Citation 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.

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