Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation

Document Type: Original Scientific Paper


1 Department of Pure Mathematics, University of Kashan, Kashan, I. R. Iran

2 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.


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Volume 4, Issue 2
Special Issue: Spectral Graph Theory and Mathematical Chemistry with Connection to Computer Science
Autumn 2019
Pages 263-279