The multicomponent generalization for the super modified KP hierarchy of Kac–van de Leur

In this paper, the super modified KP hierarchy of Kac–van de Leur is generalized to multicomponent cases. We utilize the multicomponent super boson-fermion correspondence of type A to bosonize the multicomponent super modified KP hierarchy in the fermionic picture, and we derive bilinear identities of different forms: the super Hirota bilinear form, the super Baker function form, and the super pseudo-differential operator form. Finally, elementary Darboux transformations are presented in the super fermionic Fock space.