@Article{CiCP-23-1,
author = {Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova and Dimitrios Mitsotakis},
title = {Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space},
journal = {Communications in Computational Physics},
year = {2018},
volume = {23},
number = {1},
pages = {1--29},
abstract = {<p style="text-align: justify;">In this paper we review the 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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0179a},
url = {http://global-sci.org/intro/article_detail/cicp/10519.html}
}