Non linear travelling waves with diffusion
  A third order parabolic operator L_\epsilon typical of a non linear wave operator cal L_0 perturbed by viscous terms, is analyzed. Some particular solutions related to L_0 are explicitly determined and the initial value problem for L_\epsilon is considered. The parabolic-hyperbolic behaviour is analyzed and rigorous approximations of the solution are achieved. 
M. De Angelis, E. Mazziotti
math-ph math.MP