Il. Kliakhandler et al., NONLINEAR MARANGONI WAVES IN MULTILAYER SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(5), 1998, pp. 5765-5775
The nonlinear theory of long Marangoni waves in systems with two inter
faces is developed by means of asymptotic expansions. The self-consist
ent three-layer approach is used. In the case where the thickness of o
ne of the layers is small, the system of coupled equations governing t
he deformations of both interfaces has been derived. Traveling wave so
lutions of this system are investigated analytically and numerically.
[S1063-651X(98)13510-9].