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

Figure 2

Evolution of a compact support function as initial condition under the reaction-diffusion convection process described by (6). The numerics show that as the time grows, the approximative solution tends to the sharp traveling wave solution. Note the agreement between the calculated speed of the sharp solution with that for which we have the saddle-saddle heteroclinic trajectory; see Figure 3. The profiles are plotted at equal time intervals with and for , compact support initial conditions (in a larger domain , for , and for ).