Transformation Properties of a Class of Variable Coefficient Boiti–Leon–Manna–Pempinelli Equations

Abstract

We derive the enhanced Lie group classification for a general class of variable coefficient Boiti–Leon–Manna–Pempinelli equations. This task is achieved with the use of the equivalence group admitted by the class. Using the admitted equivalence group, we transform the general class into a much simpler class of equations. Additionally, examples of non-Lie reduction operators are presented.