New perception of the exact solutions of the 3D-fractional Wazwaz-Benjamin-Bona-Mahony (3D-FWBBM) equation

Abstract

In this article we will utilize new perception of the Benjamin-Bona-Mahony equation that represents developed stretch for the Korteweg-de Varies equation which denotes to the unidirectional propagation of small amplitude long waves on the surface of hydro magnetic and acoustic waves in channel significantly for shallow water. The main idea of this research realizing new exact and hence solitary solutions of this new perception with its spatial and temporal variables and fractional order whose called 3D-fractional Wazwaz-Benjamin-Bona-Mahony model (3D -FWBBM). Two important different techniques are invited for the first time to proposed this new perception of the exact solutions, the first one is the modified simple equation method (MSEM) and the second is the Riccati-Bernolli Sub-ODE method (RBSOM) whose are used effectively to obtain accurate description of the wave solutions to this equation.