Discrete three-dimensional three wave interaction equation with self-consistent sources

被引：1
|
作者：
Gegenhasi [1 ]
Yan, Zhaowen [1 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2016年 / 11卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Discrete three-dimensional three wave interaction equation; self-consistent sources; source generalization procedure; discrete Gram-type determinant; N-SOLITON SOLUTIONS; INITIAL-VALUE-PROBLEM; DARBOUX TRANSFORMATIONS; KDV EQUATION; KP EQUATION; HIERARCHY; INTEGRATION;
D O I：
10.1007/s11464-016-0522-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A discrete three-dimensional three wave interaction equation with self-consistent sources is constructed using the source generation procedure. The algebraic structure of the resulting fully discrete system is clarified by presenting its discrete Gram-type determinant solution. It is shown that the discrete three-dimensional three wave interaction equation with self-consistent sources has a continuum limit into the three-dimensional three wave interaction equation with self-consistent sources.
引用
收藏
页码：1501 / 1513
页数：13
相关论文
共 50 条
12345