Based on the Lax pair $(B_{n}, L)$ $(B_{n}, L)$ of the mKP hierarchy and the operator Nambu 3-bracket, we propose the generalized Lax equation with respect to the Lax triple $(B_{m}, B_{n}, L)$ $(B_{m}, B_{n}, L)$ . For different pairs $(m, n)$ $(m, n)$ in the generalized Lax equation, a generalized hierarchy including the mKP hierarchy is derived.

Keywords:

PACS: 11.10.Lm

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