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应用约化摄动法推导得到用来描述含有Kappa分布电子的多组分复杂等离子体中非线性离子声孤波的Zakharov-Kuznetsov (ZK)方程. 进而获得了非线性离子声孤波的非线性强度随系统参数的变化规律. 同时, 利用Sagdeev势方法求得Sagdeev势函数, 明确了系统参数对含有Kappa分布电子的多组分复杂等离子体相图、Sagdeev势函数及非线性离子声孤波的振幅与宽度等传播特征的重要影响.
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关键词:
- 多组分复杂等离子体/
- (3 + 1) 维非线性离子声波/
- 约化摄动法
The (3 + 1) dimensional nonlinear ion acoustic waves in multicomponent complex plasma with Kappa electron distribution are studied in this work. The Zakharov-Kuznetsov (ZK) equation for ion acoustic wave is investigated by the reductive perturbation method. The variation of nonlinear ion acoustic wave with system parameter is obtained. Meanwhile, the Sagdeev potential function is obtained by using the Sagdeev potential method. And the phase diagram in a two-dimensional autonomous system of the multicomponent complex plasma with Kappa electron distribution is studied. Finally, the important influence of system parameter on the phase diagram, the Sagdeev potential function and the propagating characteristics of (3 + 1) dimensional nonlinear acoustic solitary waves are discussed in detail.-
Keywords:
- multicomponent complex plasma/
- (3 + 1) dimensional nonlinear ion acoustic wave/
- reductive perturbation method
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$ {\mu _{{\text{i + }}}} $ 振幅 $ {\mu _{{\text{i}} - }} $ 振幅 $ {\mu _{\text{b}}} $ 振幅 $ \kappa $ 振幅 $ 0.4 $ $ 0.96 $ 0.10 $ 0.59 $ $ 0.3 $ $ 1.02 $ $ 2 $ $ 0.96 $ $ 0.6 $ 0.80 $ 0.15 $ $ 0.65 $ $ 0.5 $ $ 0.91 $ $ 4 $ $ 1.70 $ $ 0.9 $ $ 0.68 $ 0.20 $ 0.72 $ $ 0.9 $ $ 0.78 $ $ 6 $ $ 1.93 $ 
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