28 citations · 31 across the 7 of their papers we have counts for
7 papers
A note on some perfect fluid Kantowski-Sachs and Bianchi type III space-times and their conformal vector fields in f(R) theory of gravity
Ghulam Shabbir, Fiaz Hussain, A. H. Kara +1
The purpose of this paper is to find conformal vector fields of some perfect fluid Kantowski-Sachs and Bianchi type III space-times in the f(R) theory of gravity using direct integ…
Invariance and conservation laws of some nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity
B Alqurashi, A H Kara
In this paper, we construct and analyse the symmetries and conservation laws (conserved densities) of a model of a nonlinear Scrodinger equation with PT-symmetric potentials and in…
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…