Approximate and generalized solutions of conformable type coudrey–dodd–gibbon–sawada–kotera equation

Abstract

In this study, we consider conformable type Coudrey{Dodd{Gibbon{Sawada{Kotera (CDGSK) equation. Three powerful analytical methods are employed to obtain gener- alized solutions of the nonlinear equation of interest. First, the sub-equation method is used as baseline where generalized closed form solutions are obtained and are ex- act for any fractional order . Furthermore, residual power series method (RPSM) and q-homotopy analysis method (q-HAM) are then applied to obtain approximate solutions. These are possible using some properties of conformable derivative. These approximate methods are very powerful and e cient due to the absence of the need for linearization, discretization and perturbation. Numerical simulations are carried out showing error values, ~-curve for q-HAM and the e ects of fractional order on the solution pro les.