Volume 22, Issue 2, February 2015, Pages 298 - 307
The Bilinear Integrability, N-soliton and Riemann-theta function solutions of B-type KdV Equation
Authors
Jianqin Mei*, Lijuan Wu
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China
*Corresponding author, meijq@dlut.edu.cn
Corresponding Author
Jianqin Mei
Received 25 December 2014, Accepted 4 March 2015, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2015.1033241How to use a DOI?
- Keywords
- Bilinear Integrability; Bäcklund Transformation; Soliton Solution; Riemann-theta function solution
- Abstract
In this paper, the bilinear integrability for B-type KdV equation have been explored. According to the relation to tau function, we find the bilinear transformation and construct the bilinear form with an auxiliary variable of the B-type KdV equation. Based on the truncation form, the Bäcklund transformation has been constructed. Furthermore, the N-soliton solutions and Riemann-theta function 1-periodic solutions of the B-type KdV equation are obtained.
- Copyright
- © 2015 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 - Jianqin Mei AU - Lijuan Wu PY - 2021 DA - 2021/01/06 TI - The Bilinear Integrability, N-soliton and Riemann-theta function solutions of B-type KdV Equation JO - Journal of Nonlinear Mathematical Physics SP - 298 EP - 307 VL - 22 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.1033241 DO - 10.1080/14029251.2015.1033241 ID - Mei2021 ER -