Geodesic
Invariance analysis and exact solutions of some sixth-order difference equations
Nyirenda, Darlison 1 ; Folly-Gbetoula, Mensah 1
1 School of Mathematics, University of the Witwatersrand, 2050, Johannesburg, South Africa
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 12, p. 6262-6273.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We perform a full Lie point symmetry analysis of difference equations of the form
$ u_{n+6}=\frac{u_nu_{n+4}}{u_{n+2}(A _n + B _n u_nu_{n+4})}\ , $
where the initial conditions are non-zero real numbers. Consequently, we obtain four non-trivial 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 [A. Khaliq, E. M. Elsayed, J. Nonlinear Sci. Appl., ${\bf 9}$ (2016), 1052--1063].
DOI : 10.22436/jnsa.010.12.11
Classification : 39A10, 39A99, 39A13
Keywords: Difference equation, symmetry, group invariant solutions

Nyirenda, Darlison  1 ; Folly-Gbetoula, Mensah  1

1 School of Mathematics, University of the Witwatersrand, 2050, Johannesburg, South Africa 
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Nyirenda, Darlison ; Folly-Gbetoula, Mensah . Invariance analysis and exact solutions of some sixth-order difference equations. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 12, p. 6262-6273. doi : 10.22436/jnsa.010.12.11. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.12.11/

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