Symmetry Group of Surfaces PDE

TL;DR

This paper applies symmetry group theory to surfaces PDEs, deriving the symmetry group and finding invariant solutions through reduction techniques, advancing analytical methods for solving surface-related PDEs.

Contribution

It introduces the symmetry group for surfaces PDEs and provides explicit invariant solutions, enhancing the analytical toolkit for surface PDE analysis.

Findings

Derived the symmetry group G for surfaces PDEs

Obtained group-invariant solutions via reduction methods

Enhanced understanding of symmetry applications in surface PDEs

Abstract

Using the theory of the symmetry group for PDEs [15, 17], we derive the symmetry group G associated to surfaces PDE. Several group invariant solutions of the surfaces PDE are given by solving a reduced system of partial differential equations.