Based on Boussinesq's shallow-water wave assumption, the generalized Boussinesq equations for a three-layer fluid model were derived by using the vertically-average method. The linearized wave equations, very-long...Based on Boussinesq's shallow-water wave assumption, the generalized Boussinesq equations for a three-layer fluid model were derived by using the vertically-average method. The linearized wave equations, very-long wave equations based on Airy theory and the KdV equations for the three-layer fluid model were also presented. Those equations can be reduced to the corresponding equations for two- and one-layer fluid models in some special cases.展开更多
文摘Based on Boussinesq's shallow-water wave assumption, the generalized Boussinesq equations for a three-layer fluid model were derived by using the vertically-average method. The linearized wave equations, very-long wave equations based on Airy theory and the KdV equations for the three-layer fluid model were also presented. Those equations can be reduced to the corresponding equations for two- and one-layer fluid models in some special cases.