3 papers
math.AP2017
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…
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.
math.DS2017
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…