Computerized symbolic computation, nonintegrable Ostrovsky's model for the oceanic or plasma environment and similarity solutions

Computerized symbolic computation is a new branch of artificial intelligence, with its remarkable feature as the permeation of computer sciences among various fields of science and engineering. Although nonintegrable, Ostrovsky's model is able to describe a variety of mechanical and physical problems, such as the internal or surface waves in the ocean, magnetic sound in plasma, or a certain type of dispersion in an electromagnetic transmission line. In the oceanic environment, for example, this model applies when Coriolis forces are significant. In this paper, with symbolic computation, we present some similarity solutions to Ostrovsky's model, and discuss the structures and properties of the resulting coupled nonlinear ordinary differential equations.