Torsional Alfvén Wave Cascade and Shocks Evolving in Solar Jets

Abstract The aim of this study is to model the nature nonlinear torsional magnetohydrodynamic waves propagating in solar jets as they are elevated outer atmosphere. contribution sequential processes transfer energy taken under consideration: cascade and shock formation. Thus a straight magnetic cylinder embedded plasma with an initial field parallel flow axis implemented. To resemble jet where oscillation wavelength highly exceeds radius, second-order thin flux tube approximation proves adequate. A Cohen–Kulsrud type equation presented, its solution depends on parameter presented study, which itself constituted various environmental equilibrium conditions that affect perturbations variables well forces connected Alfvén wave propagation. formation time inversely proportional density contrast jet, while efficiency shorter scales directly contrast. While shear at boundary expedites formation, regarding dramatically enhanced by plasma- β , significantly contributing coronal heating. observational seismological aspect present faster less probable for observations higher altitudes, experience mostly base corona, slow speed may be observed altitudes wind acceleration.