Rogue waves in the Davey-Stewartson I equation.
Rogue waves in the Davey-Stewartson I equation.
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DOI：
10.1103/physreve.86.036604
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发表时间：
2012-06
期刊：
影响因子：
--
通讯作者：
Y. Ohta;Jianke Yang
中科院分区：
文献类型：
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作者：
Y. Ohta;Jianke Yang
本文用双线性方法导出了Davey-Stewartson-I方程中的一般异常波。它表明，最简单的（基本）流氓波是线流氓波，它产生于恒定的背景线轮廓，然后消失在恒定的背景。它还表明，多无赖波描述的几个基本无赖波的相互作用。这些多重异常波也是从恒定的背景中产生，然后衰减回恒定的背景，但在中间时间，出现了有趣的弯曲波图案。然而，高阶流氓波表现出不同的动力学。具体地说，在高阶流氓波中，只有部分波结构从恒定的背景上升，然后退回到它，这种瞬态波具有抛物线等图案。但波结构的另一部分来自远距离，作为局部块，它减速到近场并与瞬态流氓波相互作用，然后被反射回来并再次加速到大距离。
General rogue waves in the Davey-Stewartson-I equation are derived by the bilinear method. It is shown that the simplest (fundamental) rogue waves are line rogue waves which arise from the constant background with a line profile and then disappear into the constant background again. It is also shown that multirogue waves describe the interaction of several fundamental rogue waves. These multirogue waves also arise from the constant background and then decay back to it, but in the intermediate times, interesting curvy wave patterns appear. However, higher-order rogue waves exhibit different dynamics. Specifically, only part of the wave structure in the higher-order rogue waves rises from the constant background and then retreats back to it, and this transient wave possesses patterns such as parabolas. But the other part of the wave structure comes from the far distance as a localized lump, which decelerates to the near field and interacts with the transient rogue wave, and is then reflected back and accelerates to the large distance again.