This article presents an empirical model for the noise of the acoustic underwater channel in shallow water from the analysis of field data measurements. A probability density function for the noise amplitude distribution is proposed and the associated likelihood functions are derived. As a result, an expression to the probability of symbol error for binary signaling is presented for the channel...

Article history: Received 20 May 2013 Received in revised form 10 March 2014 Accepted 25 March 2014 Available online 1 April 2014

Even with current extreme scale systems, the accurate simulation of tsunamis continues to be a challenging problem. One commonly used model for this task are the hydrostatic shallow water equations which, however, are not able to represent all relevant physical effects of tsunamis. In this paper, we therefore show how to solve the non-hydrostatic shallow water equations in parallel within the p...

We use the integrable Kaup-Boussinesq shallow water system, modified by a small viscous term, to model the formation of an undular bore with a steady profile. The description is made in terms of the corresponding integrable Whitham system, also appropriately modified by friction. This is derived in Riemann variables using a modified finite-gap integration technique for the AKNS scheme. The Whit...

In this paper, we consider a viscous bilayer shallow water model in one space dimension that represents two superposed immiscible fluids. For this model, we prove the existence of strong solutions in a periodic domain. The initial heights are required to be bounded above and below away from zero and we get the same bounds for every time. Our analysis is based on the construction of approximate ...