| 扩展形式的修正的Kadomtsev-Petviashvili方程的多重峰波 |
| |
| 引用本文： | A·M·瓦日瓦日,吴承平. 扩展形式的修正的Kadomtsev-Petviashvili方程的多重峰波[J]. 应用数学和力学, 2011, 32(7). DOI: 10.3879/j.issn.1000-0887.2011.07.006 |
| |
| 作者姓名： | A·M·瓦日瓦日 吴承平 |
| |
| 作者单位： | 圣·泽维尔大学数学系,芝加哥,IL,60655,美国 |
| |
| 摘 要： | 研究修正的Kadomtsev-Petviashvili(mKP)方程的一个扩展形式.使用由Hereman和Nuseir提出的、一个可以信赖的、Hirota双线性法的简化形式.由该方程(这里称为mKP方程)直接导出多重峰波解.研究还表明,扩展项并不会破坏mKP方程的可积性.
|
| 关 键 词： | 修正的Kadomtsev-Petviashvili(mKP)方程 扩展的mKP方程 多重峰波 |
Multiple-Front Waves for Extended Form of Modified Kadomtsev-Petviashvili Equation |
| |
| Abdul-Majid Wazwaz. Multiple-Front Waves for Extended Form of Modified Kadomtsev-Petviashvili Equation[J]. Applied Mathematics and Mechanics, 2011, 32(7). DOI: 10.3879/j.issn.1000-0887.2011.07.006 |
| |
| Authors: | Abdul-Majid Wazwaz |
| |
| Affiliation: | Abdul-Majid Wazwaz(Department of Mathematics,Saint Xavier University,Chicago,IL 60655,USA) |
| |
| Abstract: | An extended form of the modified Kadomtsev-Petviashvili(mKP) equation was investigated.The simplified form of Hirota's bilinear method established by Hereman and Nuseir was employed for a reliable study.Multiple-front waves solutions were formally derived for this equation,and hence to the mKP equation.That also shows that the extension terms do not kill the integrability of the mKP equation. |
| |
| Keywords: | modified Kadomtsev-Petviashvili equation extended mKP multiple-front waves |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
