Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation
文献类型：期刊论文
| 作者 | Hu,Xingbiao3,4; Pan,Yan2; Sun,Jianqing5; Wang,Hui3,4; Zhang,Yingnan1 |
| 刊名 | Journal of Physics A: Mathematical and Theoretical
 |
| 出版日期 | 2020-08-24 |
| 卷号 | 53期号:39 |
| 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 | 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. |
| 语种 | 英语 |
| WOS记录号 | IOP:1751-8113-53-39-ABA85E |
| 出版者 | IOP Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52132]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu, People’s Republic of China 2.Department of Mathematics, Nanchang University, Nanchang, People’s Republic of China 3.School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China 4.LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, PO Box 2719, Beijing 100190, People’s Republic of China 5.School of Mathematical Sciences, Ocean University of China, Qingdao, Shandong, People’s Republic of 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). |
| 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). |
入库方式： OAI收割
来源：数学与系统科学研究院
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