论文标题
本杰明·诺方程：流氓波，广泛的呼吸器，孤子弯曲，裂变和融合
Benjamin-Ono equation: Rogue waves, generalized breathers, soliton bending, fission, and fusion
论文作者
论文摘要
在这项工作中，我们构建了本杰明·诺克方程的各种有趣的局部波结构，描述了深水波的动力学。特别是，我们借助双线性形式提取流氓波和广义的呼吸溶液，并应用两个适当的测试功能。我们的分析揭示了具有任意参数的流氓波的控制机制，以获得一阶和二阶流氓波。此外，同型呼吸法的概括（也称为三波方法）用于提取广义呼吸器以及明亮，深色，反黑，有理孤子。有趣的是，我们观察到对呼吸器的操纵以及孤子相互作用，弯曲，裂变和融合。在清晰的图形演示的帮助下，对我们的结果进行了明确讨论。
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.
