Effects Of Dust Size Distribution On The Envelope Solitary Wave

In recent years,the studies of dusty plasma and the nonlinear wave phenomena have become one of the hot topics.The dusty plasma has been observed widely in many areas such as planetary rings,magnetosphere,Earth's atmosphere,plasma crystals and fusion devices.At the same time,different dust size distribution has important effects on the wave propagation in dusty plasma.In this paper,the effects of different dust size distribution on the envelope solitary waves in dusty plasma are studied by using the reductive perturbation technique.The dissertation mainly studies the following contents:1.The nonlinear envelope solitary waves in unmagnetized dusty plasma with dust grains,Boltzmann distributed ions and electrons are investigated.A(1+1)-dimensional nonlinear Schr?dinger equation(NLSE)through the reductive perturbation technique is obtained.After that the influence of dust grains which satisfy the polynomial expressed distribution on nonlinear dispersion relation and group velocity are analyzed by the numerical simulation method.Moreover,the variations of the amplitude and width of envelope solitary wave are studied as well.It is indicated that the frequency and group velocity of the envelope solitary waves are significantly influenced by different dust size distribution.2.The nonlinear envelope solitary waves in magnetized dusty plasma with dust particles,free electrons and nonthermal ions are investigated.A(3+1)-dimensional NLSE through the reductive perturbation technique is obtained.Meanwhile,the influence of dust grains which satisfy the power low distribution(PLD)on the nonlinear dispersion relation and group velocity are analyzed by the numerical simulation method.It is found that the frequency increase as the number of nonthermal ions increase,but decrease as the number density of PLD dust grains increase.Moreover,the propagation characteristics of the envelope solitary waves vary with different system parameters.