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

Abstract

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.

Version accepted in J. Math. Anal. Appl

References in corpus (2)

• Noether Symmetries and Conservations Laws For Non-critical Kohn-Laplace Equations on Three-Dimensional Heisenberg Group
• Special Conformal Groups of a Riemannian Manifold and Lie Point Symmetries of the Nonlinear Poisson Equation

Cited by in corpus (7)

• The geometric origin of Lie point symmetries of the Schrödinger and the Klein Gordon equations
• Self-adjoint sub-classes of third and fourth-order evolution equations
• Conservation laws for self-adjoint first order evolution equations
• Noether symmetries and isometries of the minimal surface Lagrangian under constant volume in a Riemannian space
• Symmetry analysis of a class of autonomous even-order ordinary differential equations
• Symmetries of Differential equations and Applications in Relativistic Physics
• Special Conformal Groups of a Riemannian Manifold and Lie Point Symmetries of the Nonlinear Poisson Equation