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Dispersive Shallow Water Wave Modelling.Part I:Model Derivation on a Globally Flat Space
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作者 Gayaz Khakimzyanov Denys Dutykh +1 位作者 Zinaida Fedotova dimitrios mitsotakis 《Communications in Computational Physics》 SCIE 2018年第1期1-29,共29页
In this paperwe reviewthe history and current state-of-the-art in modelling of long nonlinear dispersive waves.For the sake of conciseness of this review we omit the unidirectional models and focus especially on some ... In this paperwe reviewthe history and current state-of-the-art in modelling of long nonlinear dispersive waves.For the sake of conciseness of this review we omit the unidirectional models and focus especially on some classical and improved BOUSSINESQ-type and SERRE-GREEN-NAGHDI equations.Finally,we propose also a unified modelling framework which incorporates several well-known and some less known dispersive wave models.The present manuscript is the first part of a series of two papers.The second part will be devoted to the numerical discretization of a practically important model on moving adaptive grids. 展开更多
关键词 Long wave approximation nonlinear dispersive waves shallow water equations solitary waves
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