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
	2020-08-24
Source Publication	Journal of Physics A: Mathematical and Theoretical
ISSN	1751-8113
Volume	53 Issue:39
Abstract	AbstractThe 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 B?cklund transformations as discrete time integrable systems.
Keyword	mKdV–sine-Gordon equation 3-periodic wave solution integrable discre-tization
DOI	10.1088/1751-8121/aba85e
Language	英语
WOS ID	IOP:1751-8113-53-39-aba85e
Publisher	IOP Publishing
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/52133
Collection	中国科学院数学与系统科学研究院
Affiliation	1.LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, PO Box 2719, Beijing 100190, People’s Republic of China 2.School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China 3.Department of Mathematics, Nanchang University, Nanchang, People’s Republic of China 4.School of Mathematical Sciences, Ocean University of China, Qingdao, Shandong, People’s Republic of China 5.Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu, People’s Republic of China
Recommended Citation GB/T 7714	Hu,Xingbiao,Pan,Yan,Sun,Jianqing,等. 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).
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).
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).

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