期刊
PHYSICAL REVIEW A
卷 91, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.91.033804
关键词
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资金
- Italian Ministry of University and Research (MIUR) [2012BFNWZ2]
- Agence Nationale de la Recherche [ANR-13-JS04-0004 TOPWAVE, ANR-14-ACHN-0014 NoAWE, ANR-12-BS04-0011 OP-TIROC]
We study the existence and properties of rogue-wave solutions in different nonlinear wave evolution models that are commonly used in optics and hydrodynamics. In particular, we consider the Fokas-Lenells equation, the defocusing vector nonlinear Schrodinger equation, and the long-wave-short-wave resonance equation. We show that rogue-wave solutions in all of these models exist in the subset of parameters where modulation instability is present if and only if the unstable sideband spectrum also contains cw or zero-frequency perturbations as a limiting case (baseband instability). We numerically confirm that rogue waves may only be excited from a weakly perturbed cw whenever the baseband instability is present. Conversely, modulation instability leads to nonlinear periodic oscillations.
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