| (2+1)维Kadomtsev-Petviashvili方程的留数对称及其相互作用解 |
| |
| 引用本文： | 葛楠楠,任晓静.(2+1)维Kadomtsev-Petviashvili方程的留数对称及其相互作用解[J].应用数学,2019,32(4):778-784. |
| |
| 作者姓名： | 葛楠楠 任晓静 |
| |
| 作者单位： | 西北大学数学学院, 陕西 西安 710127 |
| |
| 基金项目： | 国家自然科学基金(11775047) |
| |
| 摘 要： | 运用Painleve截断展开方法得到(2+1)维Kadomtsev-Petviashvili(KP)方程的非局域留数对称和Backlund 变换.由于非局域对称不能直接对(2+1)维KP方程进行约化求解,因此,需要将非局域对称局域化.然后,利用相容的Riccati展开(CRE)可解的概念证明(2+1)维KP方程的CRE可解性,从而求出(2+1)维KP方程的新的相互作用解.
|
| 关 键 词： | (2+1)维KP方程 留数对称 Painleve截断展开 CRE可解 相互作用解 |
Residual Symmetry and Interaction Solution of the(2+1)-Dimensional Kadomtsev-Petviashvili Equation |
| |
| GE Nannan,REN Xiaojing.Residual Symmetry and Interaction Solution of the(2+1)-Dimensional Kadomtsev-Petviashvili Equation[J].Mathematica Applicata,2019,32(4):778-784. |
| |
| Authors: | GE Nannan REN Xiaojing |
| |
| Affiliation: | (School of Mathematics, Northwest University, Xi'an 710127, China) |
| |
| Abstract: | The truncated Painlev e expansion method is developed to obtain the nonlocal residual symmetry and Backlund transformation for the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation. The nonlocal symmetry cannot directly solve the (2+1)-dimensional KP equation. It is necessary to localized the nonlocal symmetry . Then, using the solvable concept of the consistent Riccati expansion method (CRE), the (2+1)-dimensional KP equation is proved to be consistent Riccati expansion solvable, and the new interaction solution of the (2+1)-dimensional KP equation is obtained. |
| |
| Keywords: | (2+1)-dimensinal Kadomtsev-Petviashvili (KP) equation Residual symmetry Truncated Painleve expansion Consistent Riccati expansion Interaction solution |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《应用数学》浏览原始摘要信息 |
|
点击此处可从《应用数学》下载全文 |
