【摘要】 本文从Vlasov-Maxwell方程组出发,用自洽场方法首先建立了低频振荡粒子分布函数、密度与高频电场、低频磁场在Fourier表象中的耦合关系,然后对低频线性介电函数作各种近似展开,在时空表象中得到了包括磁场效应、有质动力和Landau阻尼的一套非线性作用方程组最后还给出了Lagrangian密度和守恒量,并简单地讨论了磁场能否促进三维Soliton形成问题。更多还原

【Abstract】 Starting from the Vlasov-Maxwell equations by using the method of Self-Consistent field theory, we set up first the coupling relation between distribution function and density of low-frequency oscillating particles and high-frequency EF, low-frequency MF in fourier representation. Then, in the time-space representation, a set of equations for the nonlinear interaction including the effects of magnetic field generation, pondermotive force and Landau damping were derived through the expansion of the low-frequency linear dielectric function under various approximations. Finally, we also gave the Lagrangian density and conserved quantities and discussed briefly whether the magnetic field can promote the formation of soliton in three dimensions.更多还原