A Smoothing Method with a Smoothing Variable for Second-order Cone Programming

Abstract

In this paper, the nonclassical symmetries and group invariant solutions of the Boussinesq- Burgers equation have been discussed. By using the nonclassical method, we obtain nonclassical symmetries that reduce the Boussinesq-Burgers equation to ordinary differential equation, and several invariant solutions. We remark that some of them are new solutions of the Boussinesq-Burgers equation.