Symmetry analysis of cylindrical Helmholtz equation

Details Symmetry analysis of cylindrical Helmholtz equation Symmetry analysis of cylindrical Helmholtz equation

2009-08-25

arxiv.org/abs/0908.3618v1

Mathematics

Analysis of PDEs

13 pages

Scientific paper

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.

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