Optimal systems, conservation laws, and invariance analysis of the (2 + 1) extended Boiti-Leon-Manna-Pempinelli equation via the lie symmetry approach

TL;DR

This paper applies Lie symmetry analysis to the extended Boiti-Leon-Manna-Pempinelli equation, deriving optimal subalgebra systems, reducing the equation for solutions, and identifying conservation laws to better understand wave interactions.

Contribution

It introduces the optimal system of subalgebras for the eBLMP equation using the adjoint action approach, enhancing analytical solution methods.

Findings

Constructed the optimal Lie algebra system.

Reduced the eBLMP equation for analytical solutions.

Identified conservation laws and visualized wave interactions.

Abstract

Lie symmetry analysis has been applied to the extended Boiti-Leon-Manna-Pempinelli (eBLMP) equation. This system illustrates the exchange of information between two waves with distinct dispersion characteristics. The optimal system of the corresponding Lie algebra has been constructed. The equation considered has been reduced into a simpler form for the computation of analytical solutions. The novelty of this research is the optimal system of subalgebras in one dimension using the adjoint action approach. To analyze and understand the eBLMP more clearly, graphs have been plotted. We have also found conservation laws