A new higher-dimensional loop algebra and its application

作者：Xu Xiuli^*; Gong Xinbo; Zhang Yufeng; Song Ming

来源：Modern Physics Letters B, 2008, 22(18): 1757-1765.

DOI：10.1142/S0217984908016455

• cycled number
• loop algebra
• bi-Hamiltonian structure

With the help of the cycled numbers, a higher- dimensional loop algebra is constructed, whose dimension is 4(s + 1). For computing convenience, we only take s = 1 as an example. By employing loop algebra (A) over tilde (*)(3), a generalized Toda hierarchy is obtained with possessing two-Hamiltonian structure, which is also reduced to the well-known Toda hierarchy.

• 出版日期2008-7-20
• 单位山东大学