A subalgebra of loop algebra (~A)2 and its applications

• 来源期刊: 中国物理（英文版）
• 关键词: loop algebra integrable hierarchy Hamiltonian structure
• 年，卷（期）: 2004,（2）
• 页码范围: 132-138
• 页数: 7页
• 语种: 英文

摘要

A subalgebra of loop algebra (~A)2 and its expanding loop algebra (G) are constructed. It follows that both resulting integrable Hamiltonian hierarchies are obtained. As a reduction case of the first hierarchy, a generalized nonlinear coupled Schrodinger equation, the standard heat-conduction and a formalism of the well known Ablowitz, Kaup, Newell and Segur hierarchy are given, respectively. As a reduction case of the second hierarchy, the nonlinear Schrodinger and modified Korteweg de Vries hierarchy and a new integrable system are presented. Especially, a coupled generalized Burgers equation is generated.