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.
| Original language | American English |
|---|---|
| Journal | Advances and Applications in Fluid Mechanics |
| Volume | 5 |
| State | Published - Jan 2009 |
Keywords
- BBM equation
- regularized long-wave equation
- viscosity
- traveling waves
Disciplines
- Mathematics