On the paper 'Symmetry analysis of wave equation on sphere' by H. Azad and M. T. Mustafa

摘要

Using the scalar curvature of the product manifold S^{2}X R and the completegroup classification of nonlinear Poisson equation on (pseudo) Riemannianmanifolds, we extend the previous results on symmetry analysis of homogeneouswave 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.