Lie Symmetry and Exact Solutions of Conformable Time Fractional Schamel–Korteweg–De Vries Equation

In this current study, a systematic investigation is carried to derive symmetry reductions of conformable time-fractional Schamel–KdV equation via the Lie symmetry method. Using the obtained Lie point symmetries of nonlinear fractional partial differential equation, the symmetry reduction is generated and utilized that for reduction into an ordinary differential equation. Some solutions of the reduced fractional ordinary differential equation are found with two straightforward methods to study its traveling wave solutions and series solutions respectively. The method helps to obtain solutions in the form of trigonometric, hyperbolic and rational functions. Also, we have presented some figures for the obtained explicit solutions that helps us in physical interpretation of equation.