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, Xingbiao4,5; Pan, Yan3; Sun, Jianqing2; Wang, Hui4,5; Zhang, Yingnan1 |
| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000568291600001 |
| 出版者 | IOP PUBLISHING LTD |
| 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.Nanjing Normal Univ, Jiangsu Key Lab NSLSCS, Sch Math Sci, Nanjing, Jiangsu, Peoples R China 2.Ocean Univ China, Sch Math Sci, Qingdao, Shandong, Peoples R China 3.Nanchang Univ, Dept Math, Nanchang, Jiangxi, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, POB 2719, Beijing 100190, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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