Weakly nonlinear water waves over varying topography

This thesis consists of 2 sections, part A chapters 1-6 and part B chapters 6-7 with references and appendices. The cubic Schrodinger equation for weakly nonlinear water gravity waves had been extended for application to a wider frequency bandwidth and over a more rapidly varying depth using the multiple scales method. By a re- ordering of the perturbation expansion procedure, the resulting equation set included higher order linear dispersive and depth dependent terms, and the leading nonlinear terms, without having to extend the derivation to fourth order in the wave steepness.Doctor of Philosophy (CEE