Symmetry, reductions and exact solutions of the difference equation u_(n+2)=au_n/(1+bu_nu_(n+1))
classification
🌊 nlin.SI
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solutionsdifferenceequationexactgroupinvariantinvestigateleaves
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We investigate the solutions of the second-order difference equation $u_{n+2}=(au_n)/(1+bu_nu_{n+1})$ using a group of transformations (Lie symmetries) that leaves the solutions invariant.
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