报告时间：2018年6月22日（周五）14:3015:30 报告地点：理学院一楼报告厅 报告人：赵鹏，上海海事大学副教授 报告摘要： Solutions of the Euler equations are extremely difficult to describe, owing to the complexity of nonlinearity and dimensions. However, to get a better understanding of physical ramifications, there have been developed many approximate models that applied to different restricted regimes. Unlike the wellknown small amplitude nonlinear models that derived by perturbation method, the SuGardner equations contain more dispersive effects and can be used to account for higher nonlinear phenomena with large amplitude waves. In this talk, we first derive the SuGardner equations from the Euler equation using depth integration method. Then based on the scheme of perturbation procedure with respect to two small dimensionless parameters, some classical one dimensional PDEs,such as the KdV equation, the Boussinesq equations, the BenjaminBonaMahoney equation, the KaupBoussinesq equations, the CamassaHolm equation, and the twocomponent CamassaHolm equations are derived from the SuGardner equations.
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