Title of article :
Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation
Author/Authors :
Kazemi, Rasool Department of Pure Mathematics - University of Kashan , Mosaddeghi, Masoud Department of Mathematical Sciences - Isfahan University of Technology
Abstract :
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.
Keywords :
General Burgers-Boussinesq equation , travelling wave solutions , Bifurcation theory
