Perturbation Theory for Nonlinear Klein–Gordon Kinks

A direct approach is used to investigate perturbations about a kink solution for nonlinear Klein–Gordon models. Effects of perturbations on a kink are derived in this scheme. After linearizing the initial equations by making use of derivative expansion method from classical perturbation theory, the solution for the first-order correction is derived by means of the method of Laplace transformation. The parameter variations are naturally given by the secular conditions.