%0 Journal Article
%T Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Rahimian, Mohammad
%A Nadjafikhah, Mehdi
%D 2019
%\ 04/01/2019
%V 7
%N 2
%P 266-275
%! Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation
%K Perturbed Klein-Gordon equation
%K Exact solutions
%K Approximate symmetry
%K Approximate invariant solutions
%R
%X In this paper, the Lie approximate symmetry analysis is applied to investigate new exact solutions of the perturbed nonlinear Klein-Gordon equation. The nonlinear Klein-Gordon equation is used to model many nonlinear phenomena. The tanh-coth method, is employed to solve some of the obtained reduced ordinary differential equations. As a result, we construct new analytical solutions with small parameter which is effectively obtained by the proposed method.
%U https://cmde.tabrizu.ac.ir/article_8562_03583e084a8781e6b0ed51181e1c5a5f.pdf