等离子体中(3+1)维弱非线性离子声波的摄动分析

Perturbation analytics of(3+1) dimensional weak nonlinear ion acoustic wave in plasmas

通过约化摄动法,获得了等离子体中离子声波的(3+1)维KP(Kadomtsev Petviashvili)方程.结果表明,离子声波沿轴方向的速度分量、密度和电位势,在垂直方向有色散的情况下,仍然有孤立波解出现,但其它2个垂直方向的速度分量不会出现孤波结构.

By using reductive perturbation technique,a(3+1)-dimensional KP equation is obtained for ion acoustic wave in plasmas.It shows that x component of velocity,density and voltage of ion acoustic wave have soliton wave solutions,even though dispersion presents along the vertical direction,but the velocity components never present soliton wave structures along the other vertical directions.