Nonlinear diagnostic of a shallow sea stratified by density with weak dispersion and weak nonlinearity

Abstract

The paper discusses the methodology for determining the parameters of the hydrophysical background of a shallow sea stratified by density. The background of this sea is characterized by quadratic nonlinearity - α, high-frequency dispersion -β and phase velocity of linear internal gravitational waves - c 0. In the framework of the theory of weakly-intensity shock waves in media with weak dispersion, expressions are obtained for calculating the parameters: α, β and c 0. The data for calculations are in-situ measurement of the spatial-temporal characteristics of the internal undular bores, traveling on the pycnocline of the shallow sea.