A new higher-dimensional loop algebra and its application

被引：0

作者：

Xu, Xiuli ^{[1
]}

Gong, Xinbo ^{[1
]}

Zhang, Yufeng ^{[1
]}

Song, Ming ^{[2
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Peoples R China

[2] Rongcheng Dept Educ, Rongcheng 264300, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2008年 / 22卷 / 18期

关键词：

cycled number; loop algebra; bi-Hamiltonian structure;

D O I：

10.1142/S0217984908016455

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

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.

引用

页码：1757 / 1765

页数：9

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