Abstract
This paper describes the water waves generated by the elevation of the bed. The effect of time-depepndent bottom deformation on water waves is investigated, based on Boussinesq equation. Linearized solutions are derived, using one-dimensional Boussinesq equation in both cases of constat speed elevation and of non-linear time-dependent change. They are divided into hydrostatic solution and the other parts relative with vertical acceralations terms of Boussinesq equation. Findings are verified by the comparison with two dimensional numerical simulations. Finally, it is found that the effect of the time-depepndent bottom deformation terms in Boussinesq equation appears in the case of non-linear bed elevation and that it becomes larger, as the bed elevation speed is higher.
