期刊
PHYSICAL REVIEW E
卷 91, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.91.063204
关键词
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资金
- Naval Engineering Education Center [3002883706]
- ONR Grant [N00014-14-1-0520]
We study the evolution of localized wave groups in unidirectional water wave envelope equations [the nonlinear Schrodinger (NLSE) and the modified NLSE (MNLSE)]. These localizations of energy can lead to disastrous extreme responses (rogue waves). We analytically quantify the role of such spatial localization, introducing a technique to reduce the underlying partial differential equation dynamics to a simple ordinary differential equation for the wave packet amplitude. We use this reduced model to show how the scale-invariant symmetries of the NLSE break down when the additional terms in the MNLSE are included, inducing a critical scale for the occurrence of extreme waves.
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