The Study Of Shock Wave In The Complex Plasmas

In recent years, more and more people have investigated the nonlinear excitation and coherent structures in dusty plasmas. Solitary wave and shock wave are common nonlinear coherent structures and important issues in complex plasmas. Nonlinear coherent structures can be modified by the dissipation, dispersion, nonlinearity, and instability due to the variation of dust change and inhomogeneity in dusty plasmas. For strong unstable dusty plasmas, even chaos can be produced.In this thesis, the effects of dust charge fluctuation, the external magnetized field, non-thermally distributed ions and inhomogeneity on nonlinear coherent structures (solitary wave and shock wave) in dusty plasmas, which consist of extremely massive, micron-sized, negatively charged dust fluid, nonthermally distributed ions, and Boltzmann distributed electrons are investigated. The controlling of chaos in a special KdV Burgers system is also investigated. Firstly, The effects of adiabatic dust charge fluctuation, nonthermally distributed ions, and the external magnetized field on the structure of solitary wave are studied. Secondly, the effects of nonadiabatic dust charge fluctuation and the external magnetized field on the instability and structure of shock wave are studied. Furthermore, the influence of magnetized field and nonadiabatic dust charge fluctuation on the critical transition between oscillatory shock wave and monotone shock wave is investigated. On the other hand, taking into account the nonadiabatic dust charge fluctuation (Γ_ch/Γ_d is small but finite) and the nonthennally distributed ions, along with ions, electrons, dust density, and dust charging inhomogeneity, the propagation of nonlinear waves in non-planar and inhomogeneous dusty plasmas is studied both analytically and numerically. The analytical expressions for the evolution of solitary wave and shock wave (both oscillatory and monotone shock wave) are obtained. Lastly, the chaos in a special KdV Burgers system governing a ferroelectric system has been successfully suppressed by using continuous feedback control. The chaotic motion has been converted to the two fixed points and periodic orbits numerically. It is important to study chaos in complex plasmas.