In this work we present the mathematical model and simulations of a particular wave energy converter, so-called oscillating water column. device, waves governed by one-dimensional nonlinear shallow equations arrive from offshore, encounter step in bottom then into chamber to change volume air activate turbine. The system is reformulated as two transmission problems: one related motion over step...

In this paper, by using bifurcation method, we successfully find the FornbergWhitham equation ut − uxxt + ux = uuxxx − uux + 3uxuxx, has a type of traveling wave solutions called kink-like wave solutions and antikinklike wave solutions. They are defined on some semifinal bounded domains and possess properties of kink waves and anti-kink waves. Their implicit expressions are obtained. For some c...