A Review of Classical Concepts on Phase and Amplitude Dispersion: Application to Tsunamis

In the analytical and numerical modelling of tsunami generation and propagation some of the classical concepts, such as, phase (frequency) and amplitude (non-linear effects) dispersion are one of the main considerations. It is beneficial to review here some of the mathematical concepts underlying these important processes. The phase and amplitude dispersions, while both are important in tsunami modelling, play their role at different stages of the tsunami event.