  We add to a kink, which is a 1 dimensional structure, two transversal
directions. We then check its asymptotic stability with respect to compactly
supported perturbations in 3D and a time evolution under a Nonlinear Wave
Equation (NLW). The problem is inspired by work by Jack Xin on asymptotic
stability in dimension larger than 1 of fronts for reaction diffusion
equations. The proof involves a separation of variables. The transversal
variables are treated as in work on Nonlinear Klein Gordon Equation (NLKG)
originating from Klainerman and from Shatah in a particular elaboration due to
Delort and others. The longitudinal variable is treated by means of a result by
Weder on dispersion for Schroedinger operators in 1D.
