Novel analytical technique to find diversity of solitary wave solutions for Wazwaz-Benjamin-Bona Mahony equations of fractional order

Abstract

The newly modified Benjamin-Bona-Mahony equations in three dimensions are examined in the current work through the use of conformable fractional derivatives to incorporate spatial and temporal fractional order derivatives. With the aid of the Wolfram Mathematica software, a variety of solutions, including hyperbolic and periodic function solutions, are created. The information was gathered to evaluate how well the proposed novel (G’/G2)-expansion method could compute exact solutions of the WBBM equations that could be applied to the implementation of the nonlinear water model in the ocean and coastal engineering. Table 1 shows a comparison between the recently discovered solutions and those that have previously been reported in the literature. There are some visual representations of the solutions.