New exact solutions for the seventh-order time fractional Sawada–Kotera–Ito equation via various methods

Abstract

ABSTRACT In this article, we use the modified Riemann Liouville derivative and fractional complex transform for converting the time fractional equation into its corresponding ordinary differential equation. We dealt with exact solutions of the seventh-order time fractional Sawada–Kotera–Ito equation. We obtained exact solutions of the given equation via the exp-function method, the -expansion method and the ansatz method. By using these methods, dark, bright and singular soliton solutions of this equation have been found. The physical parameters in the dark, bright and singular soliton solutions free parameters and velocity are obtained as functions of the dependent model coefficients. Finally, some graphical representations of this equation are derived. It is shown that these methods are further efficient, convenient, and can be used to establish new solutions for other kind of nonlinear fractional differential equations arising in mathematical physics.