Numerical experiments on forced-damped NLS waves identify a forcing-independent quadratic link between kurtosis and bandwidth for single-spectrum rogue wave prediction.
Recurrence in the high-order nonlinear Schr\"odinger equation: a low dimensional analysis
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abstract
We study a three-wave truncation of the high-order nonlinear Schr\"odinger equation for deepwater waves (HONLS, also named Dysthe equation). We validate our approach by comparing it to numerical simulation, distinguish the impact of the different fourth-order terms and classify the solutions according to their topology. This allows us to properly define the temporary spectral upshift occurring in the nonlinear stage of Benjamin-Feir instability and provides a tool for studying further generalizations of this model.
fields
physics.flu-dyn 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Single-spectrum prediction of kurtosis of water waves in a non-conservative model
Numerical experiments on forced-damped NLS waves identify a forcing-independent quadratic link between kurtosis and bandwidth for single-spectrum rogue wave prediction.