TY - JOUR ID - 8562 TI - Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Rahimian, Mohammad AU - Nadjafikhah, Mehdi AD - Department of Mathematics, Masjed-Soleiman Branch, Islamic Azad University, Masjed-Soleiman, Iran. AD - Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology,Narmak, Tehran, 1684613114, Iran Y1 - 2019 PY - 2019 VL - 7 IS - 2 SP - 266 EP - 275 KW - Perturbed Klein-Gordon equation KW - Exact solutions KW - Approximate symmetry KW - Approximate invariant solutions DO - N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_8562.html L1 - https://cmde.tabrizu.ac.ir/article_8562_03583e084a8781e6b0ed51181e1c5a5f.pdf ER -