Matrix Modified Kadomtsev-Petviashvili Hierarchy

被引：0
作者：
A. V. Zabrodin
机构：
[1] National Research University Higher School of Economics,
[2] Institute for Theoretical and Experimental Physics,undefined
[3] Skolkovo Institute of Science and Technology,undefined
来源：
Theoretical and Mathematical Physics | 2019年 / 199卷
关键词：
matrix modified Kadomtsev-Petviashvili hierarchy; multicomponent fermion; auxiliary linear problem;
D O I：
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学科分类号：
摘要：
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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页码：771 / 783
页数：12
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