Ra. Kraenkel et al., BOUSSINESQ-TYPE SYSTEM OF EQUATIONS IN THE BENARD-MARANGONI SYSTEM, Theoretical and mathematical physics, 99(3), 1994, pp. 692-698
A system of coupled evolution equations for the bulk velocity and the
surface displacement is found to govern the long-wavelength perturbati
ons in a Benard-Marangoni system. This system of equations, involving
nonlinearity, dispersion, and dissipation, is a generalization of the
usual Boussinesq system.