Email this article Matrix Modified Kadomtsev-Petviashvili Hierarchy
- Authors: Zabrodin A.V.1,2,3
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Affiliations:
- National Research University Higher School of Economics
- Institute for Theoretical and Experimental Physics
- Skolkovo Institute of Science and Technology
- Issue: Vol 199, No 3 (2019)
- Pages: 771-783
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/172276
- DOI: https://doi.org/10.1134/S0040577919060011
- ID: 172276
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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.
About the authors
A. V. Zabrodin
National Research University Higher School of Economics; Institute for Theoretical and Experimental Physics; Skolkovo Institute of Science and Technology
Author for correspondence.
Email: zabrodin@itep.ru
Russian Federation, Moscow; Moscow; Moscow
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