Dynamics of a planar domain wall with oscillating thickness in \lambda \Phi^{4} model

Domain wall - type solution with oscillating thickness in a real, scalar field model is investigated with the help of a polynomial approximation. We propose a simple extension of the polynomial approximation method. In this approach we calculate higher order corrections to the planar domain wall solution, find that the domain wall with oscillating thickness radiates, and compute dumping of oscillations of the domain wall.