Volume 27, Issue 2, January 2020, Pages 308 - 323
Solutions of the constrained mKP hierarchy by Boson-Fermion correspondence
Authors
Huizhan Chen, Lumin Geng, Jipeng Cheng*
School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China,chengjp@cumt.edu.cn
*Corresponding author.
Corresponding Author
Jipeng Cheng
Received 3 June 2019, Accepted 6 October 2019, Available Online 27 January 2020.
- DOI
- 10.1080/14029251.2020.1700647How to use a DOI?
- Keywords
- Hirota bilinear equation; Boson-Fermion correspondence; k-constrained mKP hierarchy; rational and soliton solutions
- Abstract
In this paper, the Hirota bilinear equation of the constrained modified KP hierarchy is expressed as the vacuum expectation values of Clifford operators by using the free fermions method of mKP hierarchy. Then we mainly use the Boson-Fermion correspondence to solve the Hirota bilinear equation of the k-constrained mKP hierarchy. Further, by choosing special group elements in GL∞, the corresponding rational and soliton solutions are given.
- Copyright
- © 2020 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Huizhan Chen AU - Lumin Geng AU - Jipeng Cheng PY - 2020 DA - 2020/01/27 TI - Solutions of the constrained mKP hierarchy by Boson-Fermion correspondence JO - Journal of Nonlinear Mathematical Physics SP - 308 EP - 323 VL - 27 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1700647 DO - 10.1080/14029251.2020.1700647 ID - Chen2020 ER -