Korteweg–de Vries–Burgers equation for surface waves in nonideal conducting liquids

We examine the propagation of weakly nonlinear waves on the surface of a shallow viscous conducting liquid layer stressed by a normal electric field. A Korteweg--de Vries--Burgers equation is obtained using multiple-scale analysis and a systematic treatment. We discuss the possibility of sustaining solitons of permanent amplitude with the aid of electric fields to compensate viscous losses.