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 subalgebras. We obtain new explicit exact solutions involving arbitrary functions that have been missed in previous work (Kumar et al. in Comput Math Appl 70(3):212–221, 2015; Int J Appl Comput Math 7(1):1–17, 2021).