Document Type: Original Scientific Paper
Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran, 87317-53153
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111
By using bifurcation theory of planar dynamical systems, we classify all bounded travelling wave solutions of the general Burgers-Boussinesq equation, and we give their corresponding phase portraits. In different parametric regions, different types of trav- elling wave solutions such as solitary wave solutions, cusp solitary wave solutions, kink(anti kink) wave solutions and periodic wave solutions are simulated. Also in each parameter bifurcation sets, we obtain the exact explicit parametric representation of all travelling wave solutions.