# American Institute of Mathematical Sciences

October  2009, 23(4): 1169-1190. doi: 10.3934/dcds.2009.23.1169

## Numerical investigation of a two-dimensional Boussinesq system

 1 Department of Mathematics, Purdue University, West Lafayette, IN 47907, United States

Received  July 2007 Revised  October 2007 Published  November 2008

We present here a highly efficient and accurate numerical scheme for initial and boundary value problems of a two-dimensional Boussinesq system which describes three-dimensional water waves over a moving and uneven bottom with surface pressure variation. The scheme is then used to study in details the waves generated from rectangular sources and the two-dimensional wave patterns.
Citation: Min Chen. Numerical investigation of a two-dimensional Boussinesq system. Discrete & Continuous Dynamical Systems - A, 2009, 23 (4) : 1169-1190. doi: 10.3934/dcds.2009.23.1169
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