On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization

被引：24
|
作者：
Yu, Guo-Fu
Tam, Hon-Wah
机构：
[1] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Chinese Acad Sci, Grad Sch, Beijing, Peoples R China
[3] Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 02期
基金：
中国国家自然科学基金;
关键词：
soliton; pfaffian; Casorati solution; Grammian determinant;
D O I：
10.1016/j.jmaa.2006.08.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first present the Casorati and Grammian determinant solutions to the (2 + 1)-dimensional Gardner equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the Gardner equation. Moreover, Gramm-type pfaffian solutions to the pfaffianized system are proposed. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：989 / 1001
页数：13
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