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The shallow-water model is used as a testbench for understanding many fundamental dynamical problems (e.g. certain wave-mean interaction problems). One sometimes wants to allow large-amplitude gravity waves to propagate significant distances in such models without forming shocks. This paper presents a simple, and apparently unique, modification of the standard shallow-water model that prevents gravity wave shock formation, but which, at the same time, introduces only minimal changes in otherdoi:10.1175/1520-0469(1998)055<2884:aswmtp>2.0.co;2 fatcat:zsgmjn7phjc3xmqetgrmgqarau