Abstract: A mathematical solution of the two dimensional linear problem of an acoustic–gravity wave propagating over a rigid and slowly-varying bathymetry, in an acoustically homogeneous and slightly compressible ocean, is resented. Expressions for the far and near flow fields are derived. The present note enriches our knowledge about acoustic–gravity waves in a way that could assist, among others, in the early detection of tsunami.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.