Dynamics of kinks in two-dimensional hyperbolic models

We study the motion of fronts for an extended version of the nonlinear wave equation, ϵ2φtt+ϵ2γφt=ϵ2Δφ+f(φ)+ϵh+ϵ4ηΔφt with positive ϵ≪1 in cartesian and polar coordinates and give a local description of the front in terms of its normal velocity, acceleration and curvature. We study analytically and numerically the motion of planar and circular fronts and perturbations on them.