High-order breather,M-kink lump and semi-rational solutions of potential Kadomtsev-Petviashvili equation |
| |
| Authors: | Yulei Cao Yi Cheng Jingsong He Yiren Chen |
| |
| Institution: | 1.School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China;2.Institute for Advanced Study, Shenzhen University, Shenzhen, Guangdong 518060, China;3.College of Mathematics and Statistics, Shenzhen University, Shenzhen, Guangdong 518060, China |
| |
| Abstract: | N-kink soliton and high-order synchronized breather solutions for potential Kadomtsev–Petviashvili equation are derived by means of the Hirota bilinear method, and the limit process of high-order synchronized breathers are shown. Furthermore, M-lump solutions are also presented by taking the long wave limit. Additionally, a family of semi-rational solutions with elastic collision are generated by taking a long-wave limit of only a part of exponential functions, their interaction behaviors are shown by three-dimensional plots and contour plots. |
| |
| Keywords: | PKP equation bilinear method breather M-kink lump semi-rational solution |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|
