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Reflection and scattering of waves in inhomogeneous medium hinder the transmission of wave energy over significant distances. This article presents an algorithm for determining the parameters of a moving medium under which waves propagate without reflection. Waves on a shallow water flow in a channel with a variable bathymetry are considered as an example.

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This page is a summary of: Traveling surface wave propagation on shallow water with variable bathymetry and current, Transport Phenomena, June 2026, De Gruyter,
DOI: 10.1515/tp-2026-0060.
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