Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves

Abstract

In this manuscript, we employed an extended modified auxiliary equation mapping (EMAEM) method to the 3D fractional Wazwaz–Benjamin–Bona–Mahony equation (WBBM) with the help of computer symbolic computing system. By using this technique, we get new sets of solutions like kink and anti kink, periodic and doubly periodic, bell shaped, trigonometric functional solutions, hyperbolic solutions, singular kink, rational solutions, and combined soliton like solutions. These results are figured out graphically by using suitable values of parameters with detailed behavior of physical structure of solutions.