In this work, we construct various interesting localized wave structures of the Benjamin-Ono equation describing the dynamics of deep water waves. Particularly, we extract the rogue waves and generalized breather solutions with the aid of bilinear form and by applying two appropriate test functions. Our analysis reveals the control mechanism of the rogue waves with arbitrary parameters to obtain both bright- and dark-type first- and second-order rogue waves. Additionally, a generalization of the homoclinic breather method, also known as the three-wave method, is used for extracting the generalized breathers along with bright, dark, anti-dark, rational solitons. Interestingly, we have observed the manipulation of breathers along with soliton interaction, bending, fission, and fusion. Our results are discussed categorically with the aid of clear graphical demonstrations.

在这项工作中，我们构造了描述深水波动力学的本杰明-奥诺方程的各种有趣的局部波结构。特别地，我们借助双线性形式并通过应用两个适当的测试函数来提取流浪和广义通气解。我们的分析揭示了具有任意参数的流氓波的控制机制，可同时获得明暗类型的一阶和二阶流氓波。此外，同向通气通气方法（也称为三波方法）的一般性用于提取通明通气以及明亮，黑暗，反黑暗，合理的孤子。有趣的是，我们观察到呼吸器的操纵以及孤子相互作用，弯曲，裂变和融合。