4 papers
A basis of hierarchy of generalized symmetries and their conservation laws for the (3+1)-dimensional diffusion equation
J J H Bashingwa, A H Kara
We determine, by hierarchy, dependencies between higher order linear symmetries which occur when generating them using recursion operators. Thus, we deduce a formula which gives th…
Invariance analysis, reductions and conservation laws for second-order systems of ordinary difference equations
J J H Bashingwa, A H Kara
We present a method to obtain symmetries for second-order systems of ordinary difference equations and how to use them to reduce the order. We also introduce a technique of finding…
Some geometric structures of wave equations on manifolds of `neutral signatures'
Jean-Juste Bashingwa, A. H. Kara
In this paper, we study the symmetries and perform other geometric analyses of the wave equation on some spacetimes {with non diagonal metric which are of neutral signatur…
The Invariance and Conservation Laws of fourth-order Difference Equations
Mensah Folly-Gbetoula, Abdul Kara
We consider difference equations of order four and determine the one parameter Lie group of transformations (Lie symmetries) that leave them invariant. We introduce a technique for…