Journal of Nonlinear Mathematical Physics

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Volume 18, Issue Supplement 1, September 2011, Pages 61 - 75

A Class of Semilinear Fifth-Order Evolution Equations: Recursion Operators and Multipotentialisations

Authors
Marianna Euler*, Norbert Euler†
Department of Engineering Sciences and Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden
Received 1 October 2010, Accepted 3 December 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925111001283How to use a DOI?
Keywords
Nonlinear fifth-order evolution equations; recursion operators; Lie–Bäcklund symmetries; integrability; multipotentialisations
Abstract

We apply a list of criteria which leads to a class of fifth-order symmetry-integrable evolution equations. The recursion operators for this class are given explicitly. Multipotentialisations are then applied to the equations in this class in order to extend this class of integrable equations.

Copyright
© 2011 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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
18 - Supplement 1
Pages
61 - 75
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925111001283How to use a DOI?
Copyright
© 2011 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
PY  - 2021
DA  - 2021/01/07
TI  - A Class of Semilinear Fifth-Order Evolution Equations: Recursion Operators and Multipotentialisations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 61
EP  - 75
VL  - 18
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925111001283
DO  - 10.1142/S1402925111001283
ID  - Euler2021
ER  -