Strongly non-linear Boussinesq-type model of the dynamics of internal solitary waves propagating in a multilayer stratified fluid

We propose a system of first-order balance laws that describe the propagation internal solitary waves in multilayer stratified shallow water with non-hydrostatic pressure upper and lower layers. The construction this model is based on use additional variables, which make it possible to approximate Green–Naghdi-type dispersive equations by system. In Boussinesq approximation, governing allow one simulate non-linear waves, taking into account fine density stratification, weak velocity shear layers, uneven topography. obtain smooth steady-state soliton-like solutions proposed form symmetric non-symmetric mode-2 adjoining given constant flow. Numerical calculations generation large-amplitude are carried out using both equations. It established these models practically coincide. advantage simplicity numerical implementation significant reduction calculation time. show results simulation good agreement experimental data evolution tanks variable height.