The Liouville integrable coupling system of the m-AKNS hierarchy and its Hamiltonian structure

• 来源期刊: 中国物理（英文版）
• 关键词: loop algebra integrable coupling Hamiltonian structure quadratic identity
• 年，卷（期）: 2007,（3）
• 页码范围: 595-598
• 页数: 4页
• 语种: 英文

摘要

In this paper a type of 9-dimensional vector loop algebra (F) is constructed,which is devoted to establish an isospectral problem.It follows that a Liouville integrable coupling system of the m-AKNS hierarchy is obtained by employing the Tu scheme,whose Hamiltonian structure is worked out by making use of constructed quadratic identity.The method given in the paper can be used to obtain many other integrable couplings and their Hamiltonian structures.