This is an experimental research accompanied with a theoretical interpretation on the plasma physics and its applications. The plasma waves were especially studied and this is a contribution to the attempt of achieving the thermonuclear fusion. Many instabilities were stabilised with external intervention and chaotic plasma behaviours were observed. In addition, by finding a repeating equation, the generalisation of the perturbation theory was achieved, resulting in escaping the limitation of small perturbations.

This is a detailed approach on the application of the pertubation theory. In addition, chaotic states are also studied, as well as the plasma waves. The plasma waves are especially studied as a contribution to the attempt of achieving the thermonuclear fusion. Many instabilities were stabilised with external intervention and chaotic plasma behaviours were observed. Finally, detailed solutions to hydrodynamic problems are given by using the pertubation theory.