A new loop algebra (A)over-tilde(5) and its applications to integrable system

作者:You Fucai*; Xia Tiecheng
来源:Chaos Solitons & Fractals, 2008, 37(5): 1481-1488.
DOI:10.1016/j.chaos.2006.10.058

摘要

We construct a new loop algebra (A) over tilde (5) which is used to set up a linear isospectral problem. By making use of Tu scheme, a new integrable couplings of the generalized MKdV hierarchy is obtained. Then its tri-Hamiltonian structure is constructed by the quadratic-form identity. Furthermore, we point out that the integrable couplings is integrable in the sense of Liouville.