The present paper studies the magnetic filaments produced by the interaction between the high-frequency magnetosonic wave and low-frequency magnetosonic wave. These phenomena can be explained by using an envelope solitary wave solution of the nonlinear Schrodinger equation (NLSE). The analytical results from NLSE are in agreement with the numerical result from Ref. Modi et al. (Phys. Plasmas 21 : 102305, 2014 ). Both the linear and the nonlinear modulational instability are studied for the system. Two critical points are obtained. The first critical point gives the regions of both the instability and the stability, while the second one shows that if the perturbed wave number is close to the second critical point, the perturbed wave may be the most stable one. It is also found that all the higher order perturbed waves can be neglected in the stability region when the perturbed wave number is larger than that of the first critical point.

中文翻译：

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快慢磁声模式相互作用中的调制不稳定性

本文研究了高频磁声波与低频磁声波相互作用产生的磁丝。这些现象可以通过使用非线性薛定谔方程 (NLSE) 的包络孤立波解来解释。NLSE 的分析结果与参考文献的数值结果一致。莫迪等人。(Phys. Plasmas 21: 102305, 2014)。研究了系统的线性和非线性调制不稳定性。得到两个临界点。第一个临界点给出了不稳定和稳定的区域，而第二个临界点表明，如果扰动波数接近第二个临界点，则扰动波可能是最稳定的。