Observation of a hierarchy of up to fifth-order rogue waves in a water tank

被引：187

作者：

Chabchoub, A. ^{[1
]}

Hoffmann, N. ^{[1
]}

Onorato, M. ^{[2
,3
]}

Slunyaev, A. ^{[4
]}

Sergeeva, A. ^{[4
]}

Pelinovsky, E. ^{[4
]}

Akhmediev, N. ^{[5
]}

机构：

[1] Hamburg Univ Technol, Eissendorfer Str 42, D-21073 Hamburg, Germany

[2] Univ Turin, Dipartimento Fis, I-10125 Turin, Italy

[3] Ist Nazl Fis Nucl, I-10125 Turin, Italy

[4] Russian Acad Sci, Inst Appl Phys, Dept Nonlinear Geophys Proc, Nizhnii Novgorod 603600, Russia

[5] Australian Natl Univ, Res Sch Phys & Engn, Opt Sci Grp, Canberra, ACT 0200, Australia

来源：

PHYSICAL REVIEW E | 2012年 / 86卷 / 05期

基金：

澳大利亚研究理事会;

关键词：

PEREGRINE SOLITON; NLS EQUATION; DYNAMICS; FIBER;

D O I：

10.1103/PhysRevE.86.056601

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present experimental observations of the hierarchy of rational breather solutions of the nonlinear Schrodinger equation (NLS) generated in a water wave tank. First, five breathers of the infinite hierarchy have been successfully generated, thus confirming the theoretical predictions of their existence. Breathers of orders higher than five appeared to be unstable relative to the wave-breaking effect of water waves. Due to the strong influence of the wave breaking and relatively small carrier steepness values of the experiment these results for the higher-order solutions do not directly explain the formation of giant oceanic rogue waves. However, our results are important in understanding the dynamics of rogue water waves and may initiate similar experiments in other nonlinear dispersive media such as fiber optics and plasma physics, where the wave propagation is governed by the NLS.

引用

页数：6

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