Dispersive wave solutions of the nonlinear fractional Zakhorov-Kuznetsov-Benjamin-Bona-Mahony equation and fractional symmetric regularized long wave equation

Abstract

In this paper, we obtain several novelty solutions by applying the improved F-expansion method to solve the space–time fractional Zakhorov Kuznetsov Benjamin Bona Mahony (ZKBBM) equation and the space–time fractional symmetric regularized long wave (SRLW) equation. These two fractional equations have been extensively used to explain numerous forms of physical mechanism in mathematical physics and engineering. The suggested fractional complex transform and the revised Riemann–Liouville derivative is used to change the two equations to its ordinary differential equations. The exact solutions of these equations include hyperbolic and trigonometric solutions has been effectively obtained. Keywords: Improved F-expansion method, Modified Riemann-Liouville derivative, Nonlinear space–time fractional equations, Traveling wave