二维热离子等离子体中离子声孤波的相互作用

通过使用推广的 Poincar-Lighthill-Kuo 摄动方法,研究了二维热离子等离子体中两个沿不同方向传播的离子声孤波的相互作用,得到了两个分别描述沿ξ和η方向传播的孤波的KdV方程以及两个孤波以任意夹角碰撞后的相移和轨道.同时还研究了离子温度比σ、热容比γ和碰撞夹角α对孤波相移的影响.研究表明,这些参量可以明显地改变孤波的相移,且在该系统中存在压缩型孤波.关键词：热离子等离子体离子声孤波Poincar-Lighthill-Kuo方法相移

The interaction of ion-acoustic solitary waves in a two-dimensional hot ion plasma

Using the extended Poincar-Lighthill-Kuo perturbation method, we study the interaction between two ion-acoustic solitary waves with different propagation directions in a two-dimensional hot ion plasma, and obtain two KdV equations for solitary waves in both ξ and η directions. We also obtain the phase shifts and trajectories after the collision of two solitary waves with an arbitrary angle. The effects of the ratio of ion temperatures σ, the ratio of heat capacities γ and the angle α on the phase shifts are studied. The results suggest that these parameters can significantly influence the phase shift of the solitary waves. Moreover, there are compressive solitary waves in such a system.