Matrix Modified Kadomtsev-Petviashvili Hierarchy


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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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A. Zabrodin

National Research University Higher School of Economics; Institute for Theoretical and Experimental Physics; Skolkovo Institute of Science and Technology

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Email: zabrodin@itep.ru
俄罗斯联邦, Moscow; Moscow; Moscow

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