Journal of Nonlinear Mathematical Physics

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Volume 25, Issue 3, July 2018, Pages 375 - 386

Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications

Authors
Hui Mao*
Department of Mathematics, China University of Mining and Technology, Beijing 100083, P.R. China,maohui0628@163.com
Q.P. Liu†
Department of Mathematics, China University of Mining and Technology, Beijing 100083, P.R. China,qpl@cumtb.edu.cn
Lingling Xue
Department of Mathematics, Ningbo University, Ningbo 315211, P.R. China,xue0000@126.com
*School of Mathematics and Statistics, Guangxi Teachers Education University, Nanning 530023, Guangxi, China
†Corresponding author
Corresponding Authors
Hui Mao, Q.P. Liu
Received 4 August 2017, Accepted 5 February 2018, Available Online 6 January 2021.
DOI
10.1080/14029251.2018.1494779How to use a DOI?
Keywords
solitons; integrable systems; supersymmetry; Darboux transformation; Bäcklund transformation
Abstract

In this paper, we construct a Darboux transformation and the related Bäcklund transformation for the super-symmetric Sawada-Kotera (SSK) equation. The associated nonlinear superposition formula is also worked out. We demonstrate that these are natural extensions of the similar results of the Sawada-Kotera equation and may be applied to produce the solutions of the SSK equation. Also, we present two semi-discrete systems and show that the continuum limit of one of them goes to the SKK equation.

Copyright
© 2018 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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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
25 - 3
Pages
375 - 386
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2018.1494779How to use a DOI?
Copyright
© 2018 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/).

Cite this article

risenwbib
TY  - JOUR
AU  - Hui Mao
AU  - Q.P. Liu
AU  - Lingling Xue
PY  - 2021
DA  - 2021/01/06
TI  - Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications
JO  - Journal of Nonlinear Mathematical Physics
SP  - 375
EP  - 386
VL  - 25
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2018.1494779
DO  - 10.1080/14029251.2018.1494779
ID  - Mao2021
ER  -