Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation

被引：43

作者：

Tang, Ya-Ning ^{[1
]}

Ma, Wen-Xiu ^{[2
]}

Xu, Wei ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

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

来源：

CHINESE PHYSICS B | 2012年 / 21卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Hirota bilinear form; Grammian and Pfaffian solutions; Wronski-type and Gramm-type Pfaffian solutions; N-SOLITON SOLUTION; BOUSSINESQ EQUATION; FORM;

D O I：

10.1088/1674-1056/21/7/070212

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the Grammian and Pfaffian derivative formulae, Grammian and Pfaffian solutions are obtained for a (3+1)-dimensional generalized shallow water equation in the Hirota bilinear form. Moreover, a Pfaffian extension is made for the equation by means of the Pfaffianization procedure, the Wronski-type and Gramm-type Pfaffian solutions of the resulting coupled system are presented.

引用

页数：7

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