New hyperbolic structures for the conformable time-fractional variant bussinesq equations

In this work, exact analytical solutions for the time fractional variant bussinesq equations are constructed in the sense of the newly devised fractional derivative called conformable fractional derivative. Using wave transformation, we converted the problem under consideration to an ordinary differential equation and then employed the modified extended tanh expansion method for hyperbolic function solutions. The Mathematica software is used throughout for the solution of the system of algebraic equations obtained along the way and also for the graphical illustrations, respectively.