Geometric Structure and Some Exact Solutions of Plateau Equation

Mehdi Nadjafikhah; Naser Asadi

doi:10.9734/PSIJ/2014/6746

Research Article Open access CC BY 3.0

Geometric Structure and Some Exact Solutions of Plateau Equation

Mehdi Nadjafikhah, Naser Asadi

Physical Science International Journal · pp. 692–698 · Published 26 Feb 2014

10.9734/PSIJ/2014/6746

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.

Classic lie symmetry group-invariant solution plateau equation optimal system

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

Affiliations

Mehdi Nadjafikhah — Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj, Iran
Naser Asadi — Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj, Iran

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