Abstract: | The dynamics of internal waves of small but finite amplitude in a two-layer fluid system bounded by rigid horizontal surfaces
at bottom and top is investigated theoretically. For linear disturbances of the fluid interface the authors propose a polynomial
approximation of the dispersion relation which has the same asymptotics as the exact formula in the limiting situations of
very long and short waves. In the case of three-dimensional, weakly nonlinear disturbances of slowly varying shape (in the
coordinate system moving with the wave) an equation like the wave equation is derived. This equation has Stokes solutions
coinciding with the well-known results for infinitely deep layers. For fairly long disturbances solitary solutions of the
model wave equation which fit the experimental data are determined.
Novosibirsk. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.1, pp. 125–131, January–February,
1994. |