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.
Lashkarian, E., & Hejazi, R. (2016). Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries. Computational Methods for Differential Equations, 4(4), 298-308.
MLA
Elham Lashkarian; Reza Hejazi. "Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries". Computational Methods for Differential Equations, 4, 4, 2016, 298-308.
HARVARD
Lashkarian, E., Hejazi, R. (2016). 'Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries', Computational Methods for Differential Equations, 4(4), pp. 298-308.
VANCOUVER
Lashkarian, E., Hejazi, R. Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries. Computational Methods for Differential Equations, 2016; 4(4): 298-308.
)
