中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10202-010202.doi: 10.1088/1674-1056/19/1/010202
王新赠, 董焕河
Wang Xin-Zeng(王新赠)† and Dong Huan-He(董焕河)
摘要: A new eight-dimensional Lie superalgebra is constructed and two isospectral problems with six potentials are designed. Corresponding hierarchies of nonlinear evolution equations, as well as super-AKNS and super-Levi, are derived. Their super-Hamiltonian structures are established by making use of the supertrace identity, and they are integrable in the sense of Liouville.
中图分类号: (Integrable systems)