A new loop algebra and the corresponding computing formula of constant gamma in the quadratic-form identity, as well as the generalized Burgers hierarchy

作者：Dong Huanhe^*; Wang Xuelei; Zhang Ning

来源：International Journal of Theoretical Physics, 2008, 47(7): 1817-1827.

DOI：10.1007/s10773-007-9624-7

• loop algebra
• computing formula of constant gamma
• quadratic-form identity

A new loop algebra containing four arbitrary constants is presented, and the corresponding computing formula of constant gamma in the quadratic-form identity is obtained in this paper, which can be reduced to computing formula of constant gamma in the trace identity. As application, a new Liouville integrable hierarchy which possess bi-Hamiltonian structure and generalized Burgers hierarchy are derived.

• 出版日期2008-7
• 单位山东科技大学; 山东农业大学