University of TabrizComputational Methods for Differential Equations2345-39824420161001Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries2983085660ENElhamLashkarianDepartment of Mathematical Sciences, Shahrood University of Technology,
Shahrood, Semnan, IranRezaHejaziDepartment of Mathematical Sciences, Shahrood University of Technology,
Shahrood, Semnan, IranJournal Article20161211This 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.https://cmde.tabrizu.ac.ir/article_5660_9ecafe6aa9271d65c1fe9c2008211643.pdf