Description of kink evolution by means of particular analytical solutions

It is shown, that particular kink-shaped wave solutions to nonlinear nonintegrable equation may be employed to account for important features of the kink evolution observed in numerical solutions and to check the last solutions without computations. Thus, an exact traveling wave solution may predict boundary conditions suitable for the kink realization in numerics. A quasistationary asymptotic solution may detect an evidence of dispersion at the numerical kink shape, while an asymptotic solution obtained by the multiple scale method, describes variations in the kink amplitude, slope and velocity.