In this paper, a new super extension of cKdV hierarchy is proposed and its Hamil-tonian structures and infinitely many conservation laws are constructed. Based on the zero-curvature equation of the3×3matrix spectral problem, a hierarchy of nonlinear evolution equations which contains super cKdV equation as its first unform equation is obtained. Further, the Hamiltonian structures for the hierarchy are derived from the super trace identity. Finally, the infinitely many conservation laws of the hierarchy are given by the expansion of the solutions of Riccati equations. |