Pfaffianized systems for a generalized Kadomtsev–Petviashvili equation
Pfaffianized systems for a generalized Kadomtsev–Petviashvili equation
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DOI：
10.1088/0031-8949/87/05/055003
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发表时间：
2013-04
期刊：
影响因子：
2.9
通讯作者：
W. Ma;T. Xia
中科院分区：
文献类型：
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作者：
W. Ma;T. Xia
对（3 + 1）维广义Kadomtsev-Petviashvili（KP）方程，利用Pfumanization方法构造了一类单参数Pfumanization扩张.构造了广义KP方程的Pfronski化双线性系统的Wronski型Pfronski解和Gramm型Pfronski解.在降维条件下，我们的结果得到了一类KP方程的Pfumanized双线性系统，其中包含标准的Pfumanized双线性KP系统作为一个特例。两种Pfweenan恒等式为我们的分析提供了基础。
A one-parameter class of Pfaffian extensions is made for a (3 + 1)-dimensional generalized Kadomtsev–Petviashvili (KP) equation by the Pfaffianization procedure. Wronski-type Pfaffian and Gramm-type Pfaffian solutions of the resulting Pfaffianized bilinear systems of the generalized KP equation are constructed. Under a dimensional reduction, our results yield a class of Pfaffianized bilinear systems for the KP equation, which contains the standard Pfaffianized bilinear KP system as a particular example. Two kinds of Pfaffian identities provide the basis for our analysis.