Lie symmetry analysis for a 2+1 extended Boiti-Leon-Manna-Pempinelli equation

We apply the theory of Lie symmetries for the analysis of the group properties for a recent proposed 2+1 extended Boiti-Leon-Manna-Pempinelli equation. The equation admits infinity Lie symmetries which corresponds to the infinity number of solutions. We show that D'Alember-type wave solutions follow from the application of Lie invariants, while new periodic solutions are determined.

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In this study, we analyze the group properties of a recently proposed 2+1 extended Boiti-Leon-Manna-Pempinelli equation using the theory of Lie symmetries. We find that the equation possesses an infinite number of Lie symmetries, leading to an infinite number of solutions. By applying Lie invariants, we obtain D'Alembert-type wave solutions and identify new periodic solutions.