This paper studies the coupled Burgers equation and the high-order Boussinesq-Burgers equation.The Hirota bilinear method is applied to show that the two equations are completely integrable.Multiple-kink (soliton) solutions and multiple-singular-kink (soliton) solutions are derived for the two equations.
This paper studies the coupled Burgers equation and the high-order Boussinesq-Burgers equation. The Hirota bilinear method is applied to show that the two equations are completely integrable. Multiple-kink (soliton) solutions and multiple-singular-kink (soliton) solutions are derived for the two equations.