Nonlinear Waves News Today : Breaking News, Live Updates & Top Stories | Vimarsana

Solitons, dispersive shock waves and Noel Fredrick Smyth by Saleh Baqer, Tim Marchant et al

Solitons, dispersive shock waves and Noel Fredrick Smyth by Saleh Baqer, Tim Marchant et al
uow.edu.au - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from uow.edu.au Daily Mail and Mail on Sunday newspapers.

Noel frederick smythAustralian mathematical societySchool of mathematicsUniversity of edinburghFrederick smythNonlinear wavesWave motionSpecial issueNonlinear wave phenomenaFrom theory

WEAKLY NONLINEAR SURFACE WAVE PREDICTION USING A DATA-DRIVEN METHOD WI by Jialun Chen, Wenhua Zhao et al

Accurate surface wave prediction can potentially improve the safety and efficiency of various offshore operations, such as heavy lifts and active control of wave energy converters and floating wind turbines. Prediction of surface waves, even if only for a few periods in advance, is of value for decision-making. This study aims to predict weakly nonlinear surface waves (up to the 2nd-order) in real-time using a data-driven model based on Artificial Neural Networks (ANN), where the application of physics is investigated to aid the development of a data-driven model. Based on numerically synthesized nonlinear wave records calculated using exact 2nd-order theory, ANN models were trained to separate the nonlinear bound components at an up-wave location, propagate the linear waves and reintroduce the nonlinear components as a correction to the prediction at a downwave location. The results show that the optimal approach is to predict each stage separately following the basic physical structu

Artificial neural networksArtificial neural networkMachine learningNonlinear wavesAve by wave prediction

Extended shallow water wave equations by Theodoros P Horikis, Dimitrios J Frantzeskakis et al

Extended shallow water wave equations are derived, using the method of asymptotic expansions, from the Euler (or water wave) equations. These extended models are valid one order beyond the usual weakly nonlinear, long wave approximation, incorporating all appropriate dispersive and nonlinear terms. Specifically, first we derive the extended Korteweg–de Vries (KdV) equation, and then proceed with the extended Benjamin–Bona–Mahony and the extended Camassa–Holm equations in (1+1)-dimensions, the extended cylindrical KdV equation in the quasi-one dimensional setting, as well as the extended Kadomtsev–Petviashvili and its cylindrical counterpart in (2+1)-dimensions. We conclude with the case of the extended Green–Naghdi equations.

Vries kdAsymptotic expansionsUler equationsNonlinear wavesShallow water waves