Geometric Structure and Some Exact Solutions of Plateau Equation
Mehdi Nadjafikhah *
Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj, Iran
Naser Asadi
Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj, Iran
*Author to whom correspondence should be addressed.
Abstract
In this paper, we get the set of symmetry of Plateau differential equation. Using Lie symmetry method to obtain the classical symmetry operators. Also, we get one-dimensional optimal system of the Plateau equation and reduction Lie invariants, corresponding to infinitesimal symmetries.
Keywords: Classic lie symmetry, group-invariant solution, plateau equation, optimal system