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Nonlinear Generation of Fluting Perturbations by Kink Mode in a Twisted Magnetic Tube

机译:扭曲磁管中扭结模式非线性产生凹槽扰动

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摘要

Abstract We study the excitation of fluting perturbations in a magnetic tube by an initially imposed kink mode. We use the ideal magnetohydrodynamic (MHD) equations in the cold-plasma approximation. We also use the thin-tube approximation and scale the dependent and independent variables accordingly. Then we assume that the dimensionless amplitude of the kink mode is small and use it as an expansion parameter in the regular perturbation method. We obtain the expression for the tube boundary perturbation in the second-order approximation. This perturbation is a superposition of sausage and fluting perturbations.
机译:摘要 研究了磁管中凸槽扰动的激发方式.我们在冷等离子体近似中使用了理想的磁流体动力学(MHD)方程。我们还使用薄管近似,并相应地缩放因变量和自变量。然后,我们假设扭结模态的无量纲振幅很小,并将其用作正则微扰方法中的扩展参数。我们得到了二阶近似中管边界扰动的表达式。这种扰动是香肠和凹槽扰动的叠加。

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