Alfvenic shock waves in a collisional magnetoplasma

Compressional Alfvenic shock waves in a cold collisional magnetoplasma are investigated. For this purpose, we use the hydrodynamic equations and Faraday's law to derive the governing nonlinear equations for the compressional Alfven waves. It is shown that the latter can appear in the form of Alfvenic shock waves. -- Highlights: → We model Alfvenic shock waves in a cold collisional plasma. → The shock waves appear as monotonic or oscillatory, depending on temporal and spatial scales. → Can be responsible for cross-field proton acceleration.