In this paper, the recent development in modeling seabed dissipative mechanisms in shallow water is reviewed. Specifically, laminar and turbulent boundary layer solutions as well as viscous mud flow solutions under transient waves are presented. These analytical solutions are compared with experimental data for both solitary waves and cnoidal waves. Very good agreement is obtained. The Boussinesq equations with boundary layer effects and the muddy seabed effects are also shown. In this paper, the recent development in modeling seabed dissipative mechanisms in shallow water is reviewed. Specifically, laminar and turbulent boundary layer solutions as well as viscous mud flow solutions under transient waves are presented. These analytical solutions are compared with experimental data for both solitary The waves and cnoidal waves. Very good agreement is obtained. The Boussinesq equations with boundary layer effects and the muddy seabed effects are also shown.