O ct 2 00 9 On the paper “ Symmetry analysis of wave equation on sphere ” by H . Azad and M . T . Mustafa
نویسندگان
چکیده
Using the scalar curvature of the product manifold S×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. 2000 AMS Mathematics Classification numbers: 76M60, 58J70, 35A30, 70G65
منابع مشابه
Symmetry analysis of wave equation on sphere
The symmetry classification problem for wave equation on sphere is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obtained. Similarity reductions are performed for each class, and some examples of exact invariant solutions are given. © 2006 Elsevier Inc. All rights reserved.
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