激光偏振状态对磁化等离子体中电磁孤波的影响

强激光与等离子体之间相互作用，能够产生各种参量不稳定性过程和非线性效应。利用Karpman方法推导出横场包络所满足的非线性控制性方程，在一维情况下，获得孤波解。对孤波解进行分析，发现波包孤子的半宽反比于振幅；分析磁化等离子体中各参量对孤波半宽的影响。结果表明，在右旋圆偏振激光情况下，随着电子数密度的增大，孤波的半宽逐渐减小，而当磁场强度增大时，孤波的半宽逐渐增大；在左旋圆偏振激光情况下，随着电子数密度的增大，孤波的半宽逐渐增大，而当磁场强度增大时，孤波的半宽逐渐减小。

Influence of polarization of laser beam on solitary wave in magnetized plasma

The interaction between intense laser and plasma can produce various parametric instability processes and nonlinear effects. In this paper, the nonlinear equation satisfied by the transverse field envelope is derived by Karpman method, and the solitary wave solution is obtained in one-dimensional case. It is found that the half width of the solitary wave is inversely proportional to the amplitude of the laser beam. The influence of various parameters in magnetized plasma on the half width of the solitary wave is analyzed. The results show that for the case of right-hand circularly polarized laser, the half width of soliton decreases with the increase of electron number density, and increases with the increase of magnetic field intensity. In the case of left-hand circularly polarized laser, the half width of soliton increases with the increase of electron number density, and decreases with the increase of magnetic field intensity.