Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 4

BBM equation with non-constant coefficients

Pages
652–664
DOI
—

Abstract

In this article, a model for the propagation of long waves over an uneven bottom is considered. We provide both theoretical and numerical results for this model. We also discuss the changes which occur in a solitary wave solution of the BBM equation as it travels through a channel of decreasing depth.

Özet

In this article, a model for the propagation of long waves over an uneven bottom is considered. We provide both theoretical and numerical results for this model. We also discuss the changes which occur in a solitary wave solution of the BBM equation as it travels through a channel of decreasing depth.

Keywords: Solitary waves, BBM equation, uneven bottom