一类新的孤子族、可积耦合及其Hamiltonian结构

A new soliton hierarchy and integrable couplings as well as their Hamiltonian structures

基于零曲率方程及实李代数so(3,R),建立了一类新的孤子方程族,并通过创建新的loop代数的方法构建了该孤子族的可积耦合族,然后利用变分恒等式得到了与之相对应的Hamiltonian结构。

Based on zero curvature equations and the real Lie algebra so（3 ,R） a new hierarchy of soliton equations is generated. Then by creating new loop algebras, integrable couplings of the soliton equations are constructed. Finally, Hamihonian structures of the resulting integrable couplings are established by using the variational identity