Soliton models of long internal waves

摘要: The Korteweg-de Vries (KdV) equation and the finite-depth of Joseph (1977) Kubota, Ko & Dobbs (1978) both describe evolution long internal waves small but finite amplitude, propagating in one direction. In this paper, theories are tested experimentally by comparing measured theoretical soliton shapes. KdV predicts shapes our solitons with remarkable accuracy, much better than does equation. When carried to second-order, theory becomes about as accurate (first-order) for experiments. However, second-order corrections also identify a bound on range validity that entire expansion. This turns out be rather small; it includes only half experiments reported Koop Butler (1981).