Pfaffianization of the discrete three-dimensional three wave interaction equation

被引：5
|
作者：
Gegenhasi
Zhao, JX
Hu, XB
Tam, HW
机构：
[1] Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
[2] Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China
[3] Hong Kong Baptist Univ, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 407卷
基金：
中国国家自然科学基金;
关键词：
discrete three-dimensional three wave equation; pfaffianization; discrete Gram-type determinant solution; Gram-type pfaffian;
D O I：
10.1016/j.laa.2005.05.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first present the discrete Gram-type determinant solution to the discrete three-dimensional three wave interaction equation. Then a pfaffianized version of the discrete three-diniensional three wave interaction equation is produced by using Hirota and Ohta's pfaffianization procedure. The Grain-type pfaffian solution to the resulting system is also given. In addition, we obtain the soliton solutions of the resulting system as an example of the Grain-type pfaffian solution. (c) 2005 Elsevier Inc. All rights reserved.
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页码：277 / 295
页数：19
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