Abstract: This document is based on the search of solutions for the perturbed Sine-Gordon equation using Hamiltonian systems and Fourier transform. Also, with inverse integrant factor we guarantee the non existence of periodic orbits in some regions of the plane for the dynamical system and we generalize such system.
Jhan-Luis Alvis-Zuniga, Ana-Magnolia Marin-Ramirez and Ruben-Dario Ortiz-Ortiz, 2016. Solutions for the Perturbed Sine-Gordon Equation. Journal of Engineering and Applied Sciences, 11: 2294-2297.