Symmetry Analysis and Conservation Laws of some third-order Difference Equations

Abstract

We derive a method for finding Lie Symmetries for third-order difference equations. We use these symmetries to reduce the order of the difference equations and hence obtain the solutions of some third-order difference equations. We also introduce a technique for obtaining their first integrals.

References in corpus (1)

• Symmetry, reductions and exact solutions of the difference equation $u_{n+2}=a{u}_n/(1+b{u}_n{u}_{n+1})$