3 papers
math.DS2019
A group theory approach towards some rational difference equations
M. Folly-Gbetoula, N. Mnguni, AH Kara
A full Lie point symmetry analysis of rational difference equations is performed. Non-trivial symmetries are derived and exact solutions using these symmetries are obtained.
math.AP2018
On the relationship between the invariance and conservation laws of differential equations
A H Kara
In this paper, we highlight the complimentary nature of the results of Anco & Bluman and Ibragimov in the construction of conservation laws; that whilst the former establishes the…
math.DS2017
Symmetry, reductions and exact solutions of systems of difference equations
JJ Bashingwa, AH Kara, M Folly-Gbetoula
We apply symmetry and invariance methods to analyse systems of difference equations. Non trivial symmetries are derived and their exact solutions obtained.