A revisit of symmetry analysis and group classifications of Boiti Leon Pempinelli system in (2+1)-dimensions

Abstract: In this paper, the Boiti Leon Pempinelli system in (2+1)-dimensions is revisited for Lie symmetries and invariant solutions. An infinite-dimensional Lie algebra is obtained using the Lie invariance criterion and is further classified into one, two and three-dimensional optimal list of subalgebra. We obtain new explicit exact solutions involving arbitrary functions that have never been documented in previous work.