Analytical Solution of the Local Fractional KdV Equation

Abstract

This research work is dedicated to solving the n-generalized Korteweg–de Vries (KdV) equation in a fractional sense. The method is a combination of the Sumudu transform and the Adomian decomposition method. This method has significant advantages for solving differential equations that are both linear and nonlinear. It is easy to find the solutions to fractional-order PDEs with less computing labor.

Keywords

• KdV equation
• local fractional calculus
• Sumudu transform
• Adomian decomposition method