Reflectionless wave propagation on shallow water with variable bathymetry and current. Part 2

نویسندگان

چکیده

We show that in the linear approximation there are three classes of reflectionless wave propagation on a surface shallow water channel with spatially varying depth, width and current speed. Two these have been described our previous paper (Churilov & Stepanyants, J. Fluid Mech. , vol. 931, 2022, A15), third one was discovered recently is here. The general analysis problem shows that, within approach used both papers, apparently exhaust all possible cases exact solutions considered. flow can be global for certain conditions, i.e. it exist entire $x$ -axis. There also flows which only limited intervals

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2022

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2022.208