Research Article

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

Published in: Quaestiones Mathematicae
Volume 46 , issue 4 , 2023 , pages: 633–640

DOI: 10.2989/16073606.2022.2035844

Author(s): Andronikos Paliathanasis Institute of Systems Science, Durban University of Technology, Republic of South Africa

Keywords: 35A24 , 35B06 , 35B10 , Lie symmetries , Similarity solutions , BLMP equation

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Abstract

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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