Abstract
We investigate the kink solutions to the generalized nonlinear Klein-Gordon equation in the presence of inhomogeneous forces and nonlocal operators. We have found that the num- ber of kink internal modes can depend on the asymptotic behavior of the kink solution for large values of |x|. A list of mechanisms that are capable to create new kink internal modes would contain some of the following items: inhomogeneous perturbations that generate unstable equi- librium positions for the kink, extended de-localized space-dependent perturbations, external perturbations that do not decay exponentially, and nonlocal operators.
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