Abstract
This paper presents the numerical simulation of the model equation governing the nonlinear dynamics of dispersive Alfvén waves (DAWs) in low-β plasmas. When the nonlinearity arises due to the ponderomotive force and Joule heating-driven density perturbations, the model equation turns out to be a modified nonlinear Schrödinger (MNLS) equation. The nonlinear MNLS is used to investigate the evolution of a finite-amplitude localized initial perturbation. The initial perturbation is of the form of a sinusoidal pulse on a DAW having a Gaussian wavefront. The localized structures of DAWs with sidebands are obtained. Also, we have studied the power spectra of magnetic fluctuations with different scaling laws. These turbulent structures may be responsible for particle acceleration in the aurora region and may affect the Earth's communication.
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