Lie Symmetry Analysis and Explicit Solutions to the Estevez–Mansfield–Clarkson Equation-Reference-Cited by-同舟云学术

Lie Symmetry Analysis and Explicit Solutions to the Estevez–Mansfield–Clarkson Equation

Published:2024-09-11 Issue:9 Volume:16 Page:1194
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Aliyu Aliyu Isa¹²³,Yusuf Jibrin Sale²^ORCID,Nauman Malik Muhammad⁴^ORCID,Ozsahin Dilber Uzun¹⁵⁶,Agaie Baba Galadima²,Zaini Juliana Haji⁴^ORCID,Umar Huzaifa¹^ORCID

Affiliation:

1. Operational Research Centre in Healthcare, Near East University, TRNC Mersin 10, Nicosia 99138, Turkey

2. Department of Mathematics, Federal University Dutse, Dutse 720222, Nigeria

3. School of Computing, Maryam Abacha American University of Nigeria, Kano 700223, Nigeria

4. Faculty of Integrated Technologies, Universiti Brunei Darussalam, Jalan Tungku Link, Gadong, Bandar Seri Begawan BE1410, Brunei

5. Medical Diagnostic Imaging, College of Health Science, University of Sharjah, Sharjah 27272, United Arab Emirates

6. Research Institute for Medical and Health Sciences, University of Sharjah, Sharjah 27272, United Arab Emirates

Abstract

In this study, we investigate the symmetry analysis and explicit solutions for the Estevez–Mansfield–Clarkson (EMC) equation. Our main objectives are to identify the Lie point symmetries of the EMC equation, construct an optimal system of one-dimensional subalgebras, and reduce the EMC equation to a set of ordinary differential equations (ODEs). We employ the Riccati–Bernoulli sub-ODE method (RBSODE) to solve these reduced ODEs and obtain explicit solutions for the EMC model. The obtained solutions are validated using numerical analyses, and corresponding figures are presented to illustrate the physical implications of the derived solutions.

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/9/1194/pdf

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