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


How to Cite

Nadjafikhah, M., & Asadi, N. (2014). Geometric Structure and Some Exact Solutions of Plateau Equation. Physical Science International Journal, 4(5), 692–698. https://doi.org/10.9734/PSIJ/2014/6746

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