New Exact Solutions of the Thomas Equation Using Symmetry Transformations

Lie symmetry analysis of differential equations is one of the most effective techniques to find exact solutions to a differential equation or to reduce the number of independent variables or at least reduce the order and nonlinearity of the equation. In this article, we present invariant group solut...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of applied and computational mathematics Vol. 9; no. 5
Main Authors Hussain, Akhtar, Kara, A. H., Zaman, F. D.
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.10.2023
Springer Nature B.V
Subjects
Applications of Mathematics
Applied mathematics
Commutators
Computational mathematics
Computational Science and Engineering
Differential equations
Exact solutions
Independent variables
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Symmetry
Theoretical
Transformations (mathematics)
Lie point symmetry
Discrete symmetry transformation
Thomas equation
Lie symmetry algebra
Online AccessGet full text

Cover

More Information
Summary:Lie symmetry analysis of differential equations is one of the most effective techniques to find exact solutions to a differential equation or to reduce the number of independent variables or at least reduce the order and nonlinearity of the equation. In this article, we present invariant group solutions of the Thomas equation based on four-dimensional Lie symmetry algebra. Then by using nonzero commutators, we compute discrete symmetry transformations and then use them to find new exact solutions of the Thomas equation by following Hydon’s method.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-023-01585-5