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TMF, 2019, Volume 199, Number 3, Pages 343–356 (Mi tmf9642)  

Matrix modified Kadomtsev–Petviashvili hierarchy

A. V. Zabrodinabc

a National Research University Higher School of Economics, Moscow, Russia
b Institute for Theoretical and Experimental Physics, Moscow, Russia
c Skolkovo Institute of Science and Technology, Moscow, Russia

Abstract: 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 the 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.

Keywords: matrix modified Kadomtsev–Petviashvili hierarchy, multicomponent fermion, auxiliary linear problem.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 5-100
Russian Foundation for Basic Research 18-01-00461
This research was supported by the Russian Academic Excellence Project 5-100 and in part by the Russian Foundation for Basic Research (Grant No. 18-01-00461).


DOI: https://doi.org/10.4213/tmf9642

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English version:
Theoretical and Mathematical Physics, 2019, 199:3, 771–783

Bibliographic databases:

Received: 13.10.2018
Revised: 18.10.2018

Citation: A. V. Zabrodin, “Matrix modified Kadomtsev–Petviashvili hierarchy”, TMF, 199:3 (2019), 343–356; Theoret. and Math. Phys., 199:3 (2019), 771–783

Citation in format AMSBIB
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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