扩展形式的修正的Kadomtsev-Petviashvili方程的多重峰波

A·M·瓦日瓦日

doi:10.3879/j.issn.1000-0887.2011.07.006

扩展形式的修正的Kadomtsev-Petviashvili方程的多重峰波

doi: 10.3879/j.issn.1000-0887.2011.07.006

A·M·瓦日瓦日

圣〖KG-*4〗·〖KG-*4〗泽维尔大学数学系,芝加哥,IL 60655,美国

详细信息

中图分类号: O175.29
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出版历程
- 收稿日期: 2010-12-31
- 修回日期: 2011-04-14
- 刊出日期: 2011-07-15

Multiple-Front Waves for Extended Form of Modified Kadomtsev-Petviashvili Equation

Abdul-Majid Wazwaz

Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA

摘要

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．
- 修正的Kadomtsev-Petviashvili（mKP）方程 /
- 扩展的mKP方程 /
- 多重峰波
Abstract: An extended form of the modified Kadom tsev-Petviashvili (mKP) equation was investigated. The simp lified form of Hirotas bilinear method established by Herem an 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 in tegrability of the mKP equation.
- modified K adomtsev-Petviashvili equation /
- extended mKP /
- multiple-front waves

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参考文献(14)

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