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.
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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).
Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 199, No. 3, pp. 343–356, June, 2019.
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Zabrodin, A.V. Matrix Modified Kadomtsev-Petviashvili Hierarchy. Theor Math Phys 199, 771–783 (2019). https://doi.org/10.1134/S0040577919060011
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DOI: https://doi.org/10.1134/S0040577919060011