Journal of Nonlinear Mathematical Physics

Volume 26, Issue 3, May 2019, Pages 327 - 332

A Note on the Equivalence of Methods to finding Nonclassical Determining Equations

Authors
J. Goard
School of Mathematics and Applied Statistics, University of Wollongong 2522, Wollongong, NSW, Australia.,joanna@uow.edu.au
Received 6 March 2019, Accepted 29 March 2019, Available Online 6 January 2021.
DOI
10.1080/14029251.2019.1613056How to use a DOI?
Keywords
nonclassical symmetries; generalised conditional symmetries
Abstract

In this note we prove that the method of Bîlã and Niesen to determine nonclassical determining equations is equivalent to that of Nucci’s method with heir-equations and thus in general is equivalent to using an appropriate form of generalised conditional symmetry.

Copyright
© 2019 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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
26 - 3
Pages
327 - 332
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2019.1613056How to use a DOI?
Copyright
© 2019 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

TY  - JOUR
AU  - J. Goard
PY  - 2021
DA  - 2021/01/06
TI  - A Note on the Equivalence of Methods to finding Nonclassical Determining Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 327
EP  - 332
VL  - 26
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2019.1613056
DO  - 10.1080/14029251.2019.1613056
ID  - Goard2021
ER  -