On the solitary wave solution of fractional Kudryashov-Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles

In the present paper, the nonlinear time-fractional Kudryashov-Sinelshchikov equation has been solved numerically by using radial basis function (RBF) method. The RBF method is successfully implemented to the time-fractional Kudryashov-Sinelshchikov equation in order to achieve its approximate solution. As the exact solution of fractional Kudryashov-Sinelshchikov equation is not recorded earlier in literature, the analytical exact solutions have been constructed by using sech-tanh method via fractional complex transform. The numerical outcomes obtained by RBF are observed to be in good agreement with the exact solutions as well as with the acquired sech-tanh solutions.