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We perform a detailed classification of the Lie point symmetries and of theresulting similarity transformations for the Generalized Boiti-Leon-Pempinelliequations. The latter equations for a system of two nonlinear 1+2 partialdifferential equations of second- and third-order. The nonlinear equationsdepend of two parameters, namely $n$ and $m$, from where we find that forvarious values of these two parameters the resulting systems admit differentnumber of Lie point symmetries. For every case, we present the completeanalysis for the admitted Lie group as also we determine all the possiblesimilarity solutions which follow from the one-dimensional optimal system.Finally, we summarize the results by presenting them in a tabular way.

Lie Symmetries and Similarity transformations for the Generalized Boiti-Leon-Pempinelli equations