PROMOTING ACCESS TO AFRICAN RESEARCH

Quaestiones Mathematicae

Log in or Register to get access to full text downloads.

Remember me or Register



DOWNLOAD FULL TEXT Open Access  DOWNLOAD FULL TEXT Subscription or Fee Access

Lie symmetry analysis and explicit formulas for solutions of some third-order difference equations

M. Folly-Gbetoula, D. Nyirenda

Abstract


Lie group theory is applied to rational difference equations of the form xn+1 = xn−2xn xn−1(an + bnxn−2xn) , where (an)n∈N0 , (bn)n∈N0 are non-zero real sequences. Consequently, new symmetries are derived and exact solutions, in unified manner, are constructed. Based on some constraints in the expression of the symmetry generators, we split these solutions into different categories. This work generalises a recent result by Ibrahim

Key words: Difference equation, symmetry, group invariant solutions, periodicity.




AJOL African Journals Online