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.