| Discrete integrable couplings associated with modified Korteweg——de Vries lattice and two hierarchies of discrete soliton equations |
| |
| 引用本文： | 董焕河.Discrete integrable couplings associated with modified Korteweg——de Vries lattice and two hierarchies of discrete soliton equations[J].中国物理 B,2007,16(5):1177-1181. |
| |
| 作者姓名： | 董焕河 |
| |
| 作者单位： | College of Information Science and Engineering,
Shandong University of Science and Technology, Qingdao
266510, China |
| |
| 摘 要： | A direct way to construct integrable couplings for discrete systems
is presented by use of two semi-direct sum Lie algebras. As their
applications, the discrete integrable couplings associated with
modified Korteweg--de Vries (m-KdV) lattice and two hierarchies of
discrete soliton equations are developed. It is also indicated that
the study of integrable couplings using semi-direct sums of Lie
algebras is an important step towards the complete classification of
integrable couplings.
|
| 关 键 词： | 离散孤子方程 离散积分系统 m-KdV格子方程 李代数 分层 离散可积耦合 |
| 收稿时间： | 8/8/2006 12:00:00 AM |
| 修稿时间： | 2006-08-082006-12-18 |
Discrete integrable couplings associated with modified Korteweg--de Vries lattice and two hierarchies of discrete soliton equations |
| |
| Dong Huan-He.Discrete integrable couplings associated with modified Korteweg--de Vries lattice and two hierarchies of discrete soliton equations[J].Chinese Physics B,2007,16(5):1177-1181. |
| |
| Authors: | Dong Huan-He |
| |
| Affiliation: | College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China |
| |
| Abstract: | A direct way to construct integrable couplings for discrete systems
is presented by use of two semi-direct sum Lie algebras. As their
applications, the discrete integrable couplings associated with
modified Korteweg--de Vries (m-KdV) lattice and two hierarchies of
discrete soliton equations are developed. It is also indicated that
the study of integrable couplings using semi-direct sums of Lie
algebras is an important step towards the complete classification of
integrable couplings. |
| |
| Keywords: | discrete
integrable system m-KdV lattice equation semi-direct sums of Lie
algebras |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
|
点击此处可从《中国物理 B》下载免费的PDF全文 |
