2018/02/08 by A. Zabrodin, Zabrodin, A.
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.48550/arxiv.1802.02797
14 pages, misprints corrected
arxiv created 2018/06/27 · arxiv updated 2018/06/28
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.