On matrix modified KP hierarchy

2018/02/08 by Zabrodin, A.
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1802.02797

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.

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