Discrete integrable couplings associated with modified Korteweg-de Vries lattice and two hierarchies of discrete soliton equations

• 来源期刊: 中国物理（英文版）
• 关键词: discrete integrable system m-KdV lattice equation semi-direct sums of Lie algebras
• 年，卷（期）: 2007,（5）
• 页码范围: 1177-1181
• 页数: 5页
• 语种: 英文

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.