Nonlinear Marangoni waves in multilayer systems

Abstract

The nonlinear theory of long Marangoni waves in systems with two interfaces is developed by means of asymptotic expansions. The self-consistent three-layer approach is used. In the case where the thickness of one of the layers is small, the system of coupled equations governing the deformations of both interfaces has been derived. Traveling wave solutions of this system are investigated analytically and numerically.