Dynamical behavior in the perturbed compound KdV–Burgers equation

The dynamical behavior of the perturbed compound KdV–Burgers equation is investigated numerically. It is shown that the chaotic dynamics can occur when the compound KdV–Burgers equation is perturbed by periodic forcing. Different routes to chaos such as period doubling, quasi-periodic routes, and the shapes of strange attractors are observed by applying bifurcation diagrams, the largest Lyapunov exponent, phase projection and Poincaré map.