Volume 21, Issue 1, February 2014, Pages 17 - 33
Generalized Wronskian and Grammian Solutions to a Isospectral B-type Kadomtsev-Petviashvili equation
Authors
Jianjun Cheng
School of Mathematical Sciences, Dalian University of Technology Dalian 116024, Liaoning, P. R. China.chengjianjun0355@126.com
Zhen Wang
School of Mathematical Sciences, Dalian University of Technology Dalian 116024, Liaoning, P. R. China.wangzhen@dlut.edu.cn
Hongqing Zhang
School of Mathematical Sciences, Dalian University of Technology Dalian 116024, Liaoning, P. R. China.zhanghq@dlut.edu.cn
Received 13 June 2013, Accepted 18 November 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2014.894718How to use a DOI?
- Keywords
- isospectral BKP equation; Wronskian determinant; Grammian determinant; Young diagram
- Abstract
Generally speaking, the BKP hierarchy which only has Pfaffian solutions. In this paper, based on the Grammian and Wronskian derivative formulae, generalized Wronskian and Grammian determinant solutions are obtained for the isospectral BKP equation (the second member on the BKP hierarchy) in the Hirota bilinear form. Especially, with the help of the properties of the computing of Young diagram, we have first applied Young diagram proved the proposition of this paper. Moreover, by considering the different combinations of the entries in Wronskian, we obtain various types of Wronskian solutions.
- Copyright
- © 2014 The Authors. Published by Atlantis Press 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/).
Cite this article
TY - JOUR AU - Jianjun Cheng AU - Zhen Wang AU - Hongqing Zhang PY - 2021 DA - 2021/01/06 TI - Generalized Wronskian and Grammian Solutions to a Isospectral B-type Kadomtsev-Petviashvili equation JO - Journal of Nonlinear Mathematical Physics SP - 17 EP - 33 VL - 21 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.894718 DO - 10.1080/14029251.2014.894718 ID - Cheng2021 ER -