Pfaffianized systems for a generalized Kadomtsev-Petviashvili equation

被引：40

作者：

Ma, Wen-Xiu ^{[1
,2
]}

Xia, Tiecheng ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

来源：

PHYSICA SCRIPTA | 2013年 / 87卷 / 05期

基金：

上海市自然科学基金; 中国国家自然科学基金;

关键词：

N-SOLITON SOLUTIONS; COMPLEXITON SOLUTIONS; GRAMMIAN SOLUTIONS; BKP EQUATIONS; KP; FORM;

D O I：

10.1088/0031-8949/87/05/055003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：8

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