On the paper "Symmetry analysis of wave equation on sphere" by H. Azad and M. T. Mustafa

Details On the paper "Symmetry analysis of wave equation on sphere" by H. Azad and M. T. Mustafa On the paper "Symmetry analysis of wave equation on sphere" by H. Azad and M. T. Mustafa

2009-10-05

arxiv.org/abs/0910.0813v2

Mathematics

Analysis of PDEs

Version accepted in J. Math. Anal. Appl

Scientific paper

Using the scalar curvature of the product manifold S^{2}X R and the complete group classification of nonlinear Poisson equation on (pseudo) Riemannian manifolds, we extend the previous results on symmetry analysis of homogeneous wave equation obtained by H. Azad and M. T. Mustafa [H. Azad and M. T. Mustafa, Symmetry analysis of wave equation on sphere, J. Math. Anal. Appl., 333 (2007) 1180--1888] to nonlinear Klein-Gordon equations on the two-dimensional sphere.

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