An analytical model for bore-driven run-up

We use a hodograph transformation and a boundary integral method to derive a new analytical solution to the shallow-water equations describing bore-generated run-up on a plane beach. This analytical Solution differs from the classical Shen-Meyer runup Solution In living significantly deeper and less asymmetric swash flows, and also by predicting the inception of it secondary bore in both the backwash and the uprush in long surf. We suggest that this Solution provides a significantly improved model For flows including swash events and the run-up following breaking tsunamis.