In this paper, we interrogate the optical soliton solutions of three-dimensional fractional Wazwaz Benjamin Bona Mahony (WBBM) equation. With a new auxiliary equation scheme, we form the solitary wave solitons of the considered model. By using this methodology, the acquired solutions conduct a range of the new families. These new classes of solutions include bright, dark, dark-bright, dark singular, singular and unique solutions. The predicted solutions are yielded with constraint conditions and portrayed through 2D and 3D plots by taking suitable values of parameters. There is a comparative study being showed among the two proposed definitions of Beta and the Atangana-Baleanu fractional derivatives. A comprehensive sensitivity analysis of the WBBM equation is mentioned. There is also a quantitative overview including its solutions to the problem under consideration, derived using different interpretations of derivative.

在本文中，我们询问了三维分数Wazwaz本杰明·博纳·马洪尼（WBBM）方程的光学孤子解。借助新的辅助方程方案，我们形成了所考虑模型的孤立波孤子。通过使用这种方法，所获得的解决方案可以实现一系列新系列。这些新的解决方案类别包括亮，暗，暗亮，暗奇异，奇异和独特的解决方案。通过约束条件得出预测的解，并通过采用合适的参数值通过2D和3D图进行描绘。在对Beta和Atangana-Baleanu分数导数的两个拟议定义之间进行了比较研究。提到了WBBM方程的综合灵敏度分析。