Two expanding forms of a Lie algebra and their application

• 来源期刊: 中国物理（英文版）
• 关键词: loop algebra integrable coupling Tu scheme AKNS hierarchy
• 年，卷（期）: 2003,（6）
• 页码范围: 581-585
• 页数: 5页
• 语种: 英文

摘要

With the help of a known Lie algebra,two new high order Lie algebras are constructed.It is remarkable that they have different constructing approaches.The first Lie algebra is constructed by the definition of integrable couplings,the second one by an extension of Lie algebra.Then by making use of Tu scheme,a generalized AKNS hierarchy and another new hierarchy are obtained.As a reduction case of the first hierarchy,a kind of coupled KdV equation is presented.As a reduction case of the second one,a new coupled Schrodinger equation is given.