A new 4-dimensional implicit vector-form loop algebra with arbitrary constants and the corresponding computing formula of constant gamma in the Variation identity

作者：Dong Huanhe^*; Wang Xiangrong; Zhao Wencai

来源：Applied Mathematics and Computation, 2012, 218(22): 10998-11008.

DOI：10.1016/j.amc.2012.04.061

• Loop algebra
• Computing formula of constant gamma
• Variation identity

A new 4-dimensional implicit vector-form loop algebra containing several arbitrary constants is presented, and the corresponding computing formula of constant gamma in the Variation identity is obtained in this paper. As an application, a new Liouville integrable hierarchy is gotten which can be reduced to Dirac hierarchy, nonlinear Schoinger equation (NLS), M-KdV equation and so on.

• 出版日期2012-7-15
• 单位山东科技大学