Computer Modelling Wave Propagation

 In recent years the application of computer algebra systems devoted to Mathematics and Physics have become very popular both in instruction and scientific research. In this paper some issues arising in solving and modelling mathematical and physical problems in wave propagation will be discussed. In particular, computer algebra systems make easy to provide at the same time a large amount of data to be analyzed and a qualitative model and simulation. Very complicated problems of qualitative theory of partial differential equations or computer simulation of physical problems, such as the nonlinear wave propagation require a lot of tedious (some time impossible) analytical computations if done by hand. This is drastically smoothened with computation systems which increase our ability in doing both numerical and symbolic computations, and also making easy the animation of physical problems. The impact of modelling with a computer algebra system, both in teaching and in research, will be discussed giving some examples in the linear and nonlinear wave propagation. Index Terms  Computer Modelling, Nonlinear, Wave Propagation.