Boson–Fermion correspondence of the multi-component constrained mKP hierarchy-Reference-Cited by-同舟云学术

Boson–Fermion correspondence of the multi-component constrained mKP hierarchy

Published:2023-06-29 Issue:09 Volume:34 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Zhang Lixiang¹^ORCID,Li Chuanzhong¹²^ORCID

Affiliation:

1. School of Mathematics and Statistics, Ningbo University, Ningbo, 315211, P. R. China

2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, P. R. China

Abstract

We generalize the constrained modified KP (mKP) hierarchy to the multi-component version whose tau function can be expressed as the vacuum expectation value of Clifford operators using free fermions. Meanwhile, we extend the relevant theory of the Boson–Fermion correspondence in single component constrained mKP hierarchy to the multi-component version. This leads us to obtain the rational and soliton solutions of the multi-component constrained mKP hierarchy utilizing the Boson–Fermion correspondence. Furthermore, we give five sets of differential Fay identities and two sets of difference Fay identities of the multi-component mKP hierarchy.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X23500519

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