A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation

We demonstrate the efficiency and accuracy of the numerical method by providing a range of numerical simulations. In particular, we find that our approach can outperform the numerical methods considered in the literature by up to a factor of five. Although we focus on the Kadomtsev-Petviashvili equation in this paper, the proposed numerical scheme can be extended to a range of related models as well.