New Exact Travelling Wave Solutions for Fractional Differential
Equations in a Shallow Water Waves
Abstract
In this article, the modified simple equation method is proposed to
solve nonlinear space-time fractional differential equations. This
method is applied to solve space-time fractional modified
Benjamin-Bona-Mahony (mBBM) equation, the space-time fractional
generalized reaction duffing model and the space-time fractional
potential Kadomtsev-Petviashvili (pKP) equation. The solutions found are
hyperbolic and trigonometric function solutions. Some of these solutions
are new solutions that are not available in the literature.