%0 Journal Article
%T Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Lashkarian, Elham
%A Hejazi, Reza
%D 2016
%\ 10/01/2016
%V 4
%N 4
%P 298-308
%! Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries
%K Wave equation
%K Symmetry
%K Similarity solution
%R
%X 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.
%U https://cmde.tabrizu.ac.ir/article_5660_9ecafe6aa9271d65c1fe9c2008211643.pdf