On matrix modified KP hierarchy

Abstract

Using the bilinear formalism, we consider multicomponent and matrix modified KP hierarchies. The main tool is the bilinear identity for the tau-function which is realized as an expectation value of a Clifford group element composed from multicomponent fermionic operators. We also construct the Baker-Akhiezer functions and derive auxiliary linear equations satisfied by them.

14 pages, misprints corrected

Cited by in corpus (4)

• Quantum torus symmetries of multicomponent modified KP hierarchy and reductions
• Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy
• Toda lattice hierarchy and trigonometric Ruijsenaars-Schneider hierarchy
• Elliptic solutions to Toda lattice hierarchy and elliptic Ruijsenaars-Schneider model