This paper deals with reaction-diffusion systems on an infinitely long strip in R2. Through a pitchfork bifurcation, spatially heterogeneous patterns exist in a neighborhood of Turing instability. Motivated by the works of Kondo and Asai, we study wavefront solution heteroclinic to Turing patterns. It will be seen that the dynamics of a wavefront can be approximated by a fourth order equation of buckling type. � 2010 Society for Industrial and Applied Mathematics.
SIAM Journal on Applied Mathematics, 70(8): 2822-2843