Invariance analysis and exact solutions of some sixth-order difference equations

We perform a full Lie point symmetry analysis of difference equations of the form un+6 =unun+4 / un+2 (An + Bn unun+4)´ where the initial conditions are nonzero real numbers. Consequently, we obtain four nontrivial symmetries. Eventually, we get solutions of the difference equation for random sequences (A_n ) and (B_n) . This work is a generalization of a recent result by Khaliq and Elsayed