Journal of Nonlinear Mathematical Physics

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Volume 24, Issue 3, June 2017, Pages 303 - 314

Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations

Authors
Marianna Euler1, Norbert Euler1, Enrique G Reyes2
1Division of Mathematics, Department of Engineering Sciences and Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden
2Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Casilla 307 Correo 2, Santiago, Chile
Received 14 January 2017, Accepted 16 April 2017, Available Online 6 January 2021.
DOI
10.1080/14029251.2017.1341694How to use a DOI?
Abstract

In this letter we report a new invariant for the Sawada-Kotera equation that is obtained by a systematic potentialization of the Kupershmidt equation. We show that this result can be derived from nonlocal symmetries and that, conversely, a previously known invariant of the Kaup-Kupershmidt equation can be recovered using potentializations.

Copyright
© 2017 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/).

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Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
24 - 3
Pages
303 - 314
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2017.1341694How to use a DOI?
Copyright
© 2017 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

risenwbib
TY  - JOUR
AU  - Marianna Euler
AU  - Norbert Euler
AU  - Enrique G Reyes
PY  - 2021
DA  - 2021/01/06
TI  - Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 303
EP  - 314
VL  - 24
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2017.1341694
DO  - 10.1080/14029251.2017.1341694
ID  - Euler2021
ER  -