The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
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DOI：
10.1016/s0375-9601(00)00575-2
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发表时间：
2000-10-23
影响因子：
2.6
通讯作者：
Serio, M
中科院分区：
文献类型：
--
作者：
Osborne, AR;Onorato, M;Serio, M
游荡波是非线性深水重力波中罕见的“巨”、“怪”、“怪物”或“陡波”事件，偶尔会上升到背景波场之上令人惊讶的高度。洞是深槽，出现在最大的流氓波峰之前和/或之后。这些巨波的动力学行为在这里解决的非线性薛定谔方程在1 + 1和3 + 1维。我们讨论了1 + 1维的分析结果，并在数值上证明，对于某些初始条件，无处不在的流氓波和洞在2 + 1空间维度。一个典型的波场显然是由稳定波模的背景和间歇性的不稳定浪的上冲所组成。(C)出版社：Elsevier Science B. V.
Rogue waves are rare "giant", "freak", "monster" or "steep wave" events in nonlinear deep water gravity waves which occasionally rise up to surprising heights above the background wave field. Holes are deep troughs which occur before and/or after the largest rogue crests. The dynamical behavior of these giant waves is here addressed as solutions of the nonlinear Schrodinger equation in both 1 + 1 and 3 + 1 dimensions. We discuss analytical results for 1 + 1 dimensions and demonstrate numerically, for certain sets of initial conditions, the ubiquitous occurrence of rogue waves and holes in 2 + 1 spatial dimensions. A typical wave field evidently consists of a background of stable wave modes punctuated by the intermittent upthrusting of unstable rogue waves. (C) 2000 Published by Elsevier Science B.V.