TRAVELING WAVES FOR THE BBM EQUATION WITH VISCOSITY TERM

Gregory S. Spradlin (USA)

Received September 22, 2008

Abstract

The Benjamin-Bona-Mahony equation is a popular alternative to the Korteweg-de Vries equation, for modeling unidirectional propagation of long waves in systems that manifest nonlinear and dispersive effects. In this paper, it is shown that when a viscosity term is added to the BBM equation, there exist bounded traveling wave solutions.

Keywords and phrases: BBM equation, regularized long-wave equation, viscosity, traveling waves.