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- W2045559116 abstract "Abstract Using the two-layer fluid model for long interfacial waves of finite amplitude, we find solutions for periodic traveling waves and investigate their properties. In addition, it is shown that these periodic traveling waves can be represented as an infinite sum of spatially repeated soliton shapes, although it is concluded that this is merely a very accurate approximation and not a mathematical property of the model (as is often characteristic for cases of weak nonlinearity). By reducing the aforementioned model to its small amplitude counterpart (i.e. the Benjamin–Ono equation), an explanation is provided as to the fact that even for small wave amplitudes, there remains an apparent discrepancy between the models which increases as the period length shortens." @default.
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- W2045559116 date "2015-01-01" @default.
- W2045559116 modified "2023-09-26" @default.
- W2045559116 title "On periodic solutions of interfacial waves of finite amplitude" @default.
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- W2045559116 doi "https://doi.org/10.1016/j.euromechflu.2014.07.009" @default.
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