DETERMINATION OF BACKGROUND PARAMETERS OF WEAKLY DISPERSIVE STRATIFIED SHALLOW WATER

摘要

A method for determining the background parameters of weakly dispersive media based on the theory of low-intensity undular bores in such media is proposed. An analytical model of an undular (cnoidal) bore on a pycnocline of a stratified shallow sea is used to obtain expressions for calculating the coefficients of the extended Korteweg-de Vries equation: the velocities of linear internal waves, high-frequency dispersion, quadratic and cubic nonlinearities, i.e., the parameters characterizing the hydrophysical background over which the bore propagates. These parameters are calculated from data of direct measurements of bore characteristics: their wave records, nonlinear velocity, "mass" and amplitude of leading solitons, and the frequencies of the rear waves in the region of bore propagation. The efficiency of the proposed method is confirmed by the results of numerical simulation.