Matrix modified Kadomtsev-Petviashvili hierarchy
Using the bilinear formalism, we consider multicomponent and matrix Kadomtsev-Petviashvili hierarchies.
The main tool is the bilinear identity for the tau function realized as a vacuum expectation value of a
Clifford group element composed of multicomponent fermionic operators. We also construct the Baker–
Akhiezer functions and obtain auxiliary linear equations that they satisfy.