A three-dimensional description of solitary waves and their interaction in Marangoni–Bénard layers

Abstract

A dissipation-modified Boussinesq-like system of equations governing three-dimensional long wavelength Marangoni–Bénard oscillatory convection in a shallow layer heated from the air side is presented. Solitary waves and their oblique and head-on interactions are considered, thus leading to results that compare well with available experimental data.