In this paper, a super Modified Jaulent-Miodek (MJM) integrable system is proposed and its Bi-Hamilton structure and infinite conservation laws of super MJM equations is constructed. First, Based on the 3×3 matrix spectral problem, a hierarchy of nonlinear differential equations which contains the famous super MJM as its first unform equation is proposed. Further, the super Bi-Hamilton structures for the hierarchy are given, with the help of the trace identity. Finally, the infinitely many conservation laws of the equations are deduced by the expansion of the solutions of Riccati equations. |