SITEM for the conformable space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations

Abstract

In the present paper, new analytical solutions for the space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations are obtained by using the simplified tan(ϕ(ξ)2)-expansion method. Here, fractional derivatives are defined in the conformable sense. To show the correctness of the obtained traveling wave solutions, residual error function is defined. It is observed that the new solutions are very close to the exact solutions. The solutions obtained by the presented method have not been reported in former literature.

Keywords

• Space-time fractional Boussinesq equation
• (2 + 1)-dimensional breaking soliton equation
• Simplified tan(ϕ(ξ)2)-expansion method (SITEM)
• Conformable derivative