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

TL;DR

This paper revisits the (2+1)-dimensional Boiti Leon Pempinelli system, analyzing its Lie symmetries, classifying its Lie algebra, and deriving new explicit solutions involving arbitrary functions.

Contribution

It provides a comprehensive symmetry analysis and introduces new explicit solutions that were not previously documented.

Findings

Infinite-dimensional Lie algebra obtained

Classification into optimal subalgebras

New explicit solutions involving arbitrary functions

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.