THE MODULATIONAL INSTABILITY OF ALFVEN WAVES
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摘要: 考虑由有质动力引起的密度变化和流速改变两个非线性效应,运用Karpman方法研究阿尔芬波的调制不稳定性,对左、右圆偏振波两个分支,分别得出了具有波包孤子解和反波包孤子解的条件、密度扰动和阿尔芬波能量密度间的关联等结果.Abstract: Considering the actions of the porderomotive force from both density variations and changes of flow speed, using Karpman's method, the modulational instability of Alfven waves has been investigated. For the two branches of left and right hand circular polarization waves, the coalitions for the existence of wave packet solitons and of anti-wavepacket solitons, the correlations between density fluctuations and wave energy densities, and the nonlinear frequency drifts have been obtained respectively.For the left hand circular polarization Alfven waves with a finite amplitude, the conditions for the occurence of instabilities and it's growth rate have been obtained also.
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Key words:
- Alfven wave /
- Modulational instability /
- Soliton
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