A MATHEMATICAL JUSTIFICATION OF THE FORCED KORTEWEG-DE VRIES EQUATION FOR CAPILLARY-GRAVITY WAVES
A MATHEMATICAL JUSTIFICATION OF THE FORCED KORTEWEG-DE VRIES EQUATION FOR CAPILLARY-GRAVITY WAVES
The forced Korteweg-de Vries (KdV) equation is the KdV equation with a forcing term and arises as a model for several physical situations. In this paper, we study the validity of this modeling for capillary-gravity waves in an infinitely long canal over an uneven bottom. An underlying background flow of …