A semi-discrete modified KdV equation
文献类型：期刊论文
| 作者 | Sun, Jianqing1; Hu, Xingbiao2,3 ; Zhang, Yingnan4
|
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 59期号:4页码:12 |
| ISSN号 | 0022-2488 |
| DOI | 10.1063/1.5032092 |
| 英文摘要 | In this paper, we present an integrable semi-discretization of the modified Kortewegd-eVries (mKdV) equation. We discretize the "time" variable of the mKdV equation and get an integrable differential-difference system. Under a standard limit, the differential- difference system converges to the continuous mKdV equation. By Hirota's bilinear method, we find some explicit solutions including solitons and breather solutions. From the semi-discrete system, we design a numerical scheme to the mKdV equation and carry out several numerical experiments with the 3-soliton solution and breather solution. Published by AIP Publishing. |
| 资助项目 | National Natural Science Foundation of China[11401546] ; National Natural Science Foundation of China[11601237] ; National Natural Science Foundation of China[11571358] ; National Natural Science Foundation of China[11331008] ; National Natural Science Foundation of China[11731014] ; Natural Science Foundation of Jiangsu Province Colleges and Universities[16KJB110014] ; Jiangsu Planned Projects for Postdoctoral Research Funds[1601054A] ; Fundamental Research Funds for the Central Universities[201562012] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000431271800035 |
| 出版者 | AMER INST PHYSICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30285]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhang, Yingnan |
| 作者单位 | 1.Ocean Univ China, Sch Math Sci, Qingdao, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 4.Nanjing Normal Univ, Sch Math Sci, Nanjing, Jiangsu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Jianqing,Hu, Xingbiao,Zhang, Yingnan. A semi-discrete modified KdV equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2018,59(4):12. |
| APA | Sun, Jianqing,Hu, Xingbiao,&Zhang, Yingnan.(2018).A semi-discrete modified KdV equation.JOURNAL OF MATHEMATICAL PHYSICS,59(4),12. |
| MLA | Sun, Jianqing,et al."A semi-discrete modified KdV equation".JOURNAL OF MATHEMATICAL PHYSICS 59.4(2018):12. |
入库方式： OAI收割
来源：数学与系统科学研究院
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