An approach for generating enlarging integrable systems

作者：Zhang Yufeng^*; Fan Engui

来源：Physics Letters A, 2007, 365(1-2): 89-96.

DOI：10.1016/j.physleta.2006.11.103

• Lie algebra
• integrable system
• Hamiltonian structure

By constructing a type of antisymmetric matrix Lie algebra, a way to generate enlarging integrable systems is presented. The such integrable hierarchies are not integrable couplings, specially, their corresponding Hamiltonian structure can be obtained by the trace identity. As an application example, the enlarging integrable system and the Hamiltonian structure of the AKNS hierarchy are given. Finally, the explicit relations expressed by the formulae among the solutions of the stationary zero curvature equations are obtained.

• 出版日期2007-5-21
• 单位辽宁师范大学; 复旦大学