Abstract: How to construct a new super soliton equation hierarchy is an important problem in soliton theory. In this paper, based on the matrix Lie super algebras, we obtain a new six-component super NLS-MKdV hierarchy with the aid of zero curvature equation, and gain different reductions for the super integrable equations. Super trace identity is used to furnish the super Hamiltonian structures for the resulting nonlinear super integrable hierarchy. Finally, we establish infinite conservation laws for the integrable six-component super NLS-MKdV hierarchy by introducing two variables. Especially, in the process of computation, Fermi variables play an important role in super integrable systems.

Key words: super Hamiltonian structure, conservation law, super NLS-MKdV hierarchy, Fermi variable