In this paper, the initial value problem for a class of BBM-BO type equation is considered. By means of priori estimates and Galerkin method, the existence and uniqueness of the solution in a suitable Sobolev space ar...In this paper, the initial value problem for a class of BBM-BO type equation is considered. By means of priori estimates and Galerkin method, the existence and uniqueness of the solution in a suitable Sobolev space are obtained.展开更多
The interactions of atmospheric solitary waves with different modes are investigated by a perturbation method. The model considered in this paper consists of a lower layer with exponential density profile and an infin...The interactions of atmospheric solitary waves with different modes are investigated by a perturbation method. The model considered in this paper consists of a lower layer with exponential density profile and an infinitely deep upper layer with constant density. The analysis show that the waves obey the Benjamin-Ono equation before and after interaction, and the main effect of the interaction is the phase shifts for each wave.展开更多
文摘In this paper, the initial value problem for a class of BBM-BO type equation is considered. By means of priori estimates and Galerkin method, the existence and uniqueness of the solution in a suitable Sobolev space are obtained.
基金The project supported by the National and Shanghai Education Commission of Science Foundation
文摘The interactions of atmospheric solitary waves with different modes are investigated by a perturbation method. The model considered in this paper consists of a lower layer with exponential density profile and an infinitely deep upper layer with constant density. The analysis show that the waves obey the Benjamin-Ono equation before and after interaction, and the main effect of the interaction is the phase shifts for each wave.
