Reactive-Diffusive-Advective Traveling Waves in a Family of Degenerate Nonlinear Equations

Figure 3

Approximation of the wave speed of the profiles evolving to a sharp traveling wave; to compute this we follow how the wave’s location changes with each time step. For a fixed value we compute so that is the , where . We plot this curve versus time and compute the slope to approximate the wave speed and obtain as a result. For these parameter values (), the phase portrait numerical results show that the value of for which we have a unique heteroclinic connexion between and is for .