Abstract
A Fourier pseudospectral method is presented that can be used without modification or loss of accuracy for the modeling of a variety of nonlinear dispersive waves. These include unidirectional or bidirectional waves with dispersion effects described by third-order spatial or temporally mixed derivatives, as well as by fifth-order spatial derivatives. The method provides a platform for a fair comparison of the true properties of various dispersive wave models. Periodic boundary conditions are used for all equations and therefore errors are not introduced at the boundaries. Furthermore, time integration is performed by a fourth-order explicit scheme for which accuracy and stability limits are established. The model is used for the computation of various wave propagation and interaction problems and compared with existing numerical schemes.
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