Symmetry analysis of cylindrical Helmholtz equation
Analysis of PDEs
2009-08-26 v1 Differential Geometry
Abstract
In this paper, we present the point symmetry group of three-dimensional homogeneous Helmholtz equation, when we consider the cylindrical coordinate system. In continuation, we present a complete set of functionally independent invariants of the equation along with the form of the general solution provided by these invariants. Finally, we find an optimal system of one-dimensional Lie subgroups of the full symmetry group.
Keywords
Cite
@article{arxiv.0908.3618,
title = {Symmetry analysis of cylindrical Helmholtz equation},
author = {Mehdi Nadjafikhah and Ali Mahdipour-Shirayeh},
journal= {arXiv preprint arXiv:0908.3618},
year = {2009}
}
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13 pages