Rotational flows over obstacles in the forced Korteweg-de Vries framework

In this work we investigate rotational waves resonantly excited by a submerged obstacle in sheared shallow water channel with constant vorticity. the weakly nonlinear, dispersive regime, problem is formulated forced Korteweg-de Vries framework. We compute solution of initial value problem for equation numerically using Fourier pseudospectral method integrating factor. The water surface is initially taken at rest, and once current turned on, are immediately generated in free surface. identify main effects generated such as rotational solitary propagating upstream sharp crested being generated.