More Explicit Solitary Solutions of the Space-Time Fractional Fifth Order Nonlinear Sawada-Kotera Equation via the Improved Generalized Riccati Equation Mapping Method
نویسنده
چکیده
In this paper, a new construction of exact solutions based on the improved generalized Riccati equation mapping method with modified Reimann-Luiviile fractional derivative and symbolic computation is proposed for seeking abundant solutions of the space-time fractional fifth-order nonlinear Sawada-Kotera equation. The proposed method is very simple, direct, effective and convenient for obtaining different types of exact solutions of the space-time fractional fifth-order nonlinear Sawada-Kotera equation. We can obtain new general exact solutions in various forms including trigonometric function solutions, hyperbolic function solutions, and rational function solutions of this equation from the method with the aid of the mathematical software Maple. Moreover, this method is a powerful mathematical tool for generating more solutions for solving other fractional differential equations and systems of nonlinear fractional differential equations. AMS subject classification:
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