Symmetry and Painlevé analysis for the extended Sakovich equation
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 17 June 2020
Issue publication date: 12 January 2021
Abstract
Purpose
The purpose of this paper is to concern with introducing symmetry analysis to the extended Sakovich equation.
Design/methodology/approach
The newly developed Sakovich equation has been handled by using the Lie symmetries via using the Lie group method.
Findings
The developed extended Sakovich model exhibit symmetries and invariant solutions.
Research limitations/implications
The present study is to address the two main motivations: the study of symmetry analysis and the study of soliton solutions of the extended Sakovich equation.
Practical implications
The work introduces symmetry analysis to the Painlevé-integrable extended Sakovich equation.
Social implications
The work presents useful symmetry algorithms for handling new integrable equations.
Originality/value
The paper presents an original work with symmetry analysis and shows useful findings.
Keywords
Acknowledgements
This work is supported by Natural Science Foundation of Hebei Province of China (No. A2018207030), Youth Key Program of Hebei University of Economics and Business (2018QZ07).
Citation
Wang, G. and Wazwaz, A.-M. (2021), "Symmetry and Painlevé analysis for the extended Sakovich equation", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 1, pp. 541-547. https://doi.org/10.1108/HFF-04-2020-0235
Publisher
:Emerald Publishing Limited
Copyright © 2020, Emerald Publishing Limited