Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries

Document Type : Research Paper

Authors

Department of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran

Abstract

‎This paper obtains the exact solutions of the wave equation as a second-order partial differential equation (PDE)‎. ‎We are going to calculate polynomial and non-polynomial exact solutions by using Lie point symmetry‎. ‎We demonstrate the generation of such polynomial through the medium of the group theoretical properties of the equation‎. ‎A generalized procedure for polynomial solution is presented and this extended to the construction of related polynomials‎.

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