A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures

A super Sasa-Satsuma hierarchy associated with a 3 × 3 matrix spectral problem is proposed with the aid of the zero-curvature equation and Lenard recursion equations. A typical member in the hierarchy is the super Sasa-Satsuma equation. The super bi-Hamiltonian structures of the super Sasa-Satsuma hierarchy are constructed by utilizing the super trace identity. The infinite conservation laws of the super Sasa-Satsuma equation are presented by resorting to the spectral parameter expansion.