Department of Mathematics, Shanghai University, Shanghai 200444, China; Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, China
Abstract:
Based on the constructed Lie superalgebra, the super-classical-Boussinesq hierarchy is obtained. Then, its super-Hamiltonian structure is obtained by making use of super-trace identity. Furthermore, the super-classical-Boussinesq hierarchy is also integrable in the sense of Liouville.