Alfvén Wave Self-Interaction in a Plasma with Thermal Misbalance

We consider the Alfvén wave self-interaction in a plasma with thermal misbalance. To describe this process, a system of truncated equations is obtained that allows using a relatively simple algorithm for its numerical solution. The obtained truncated system describes the self-interaction of Alfvén waves under various conditions of thermal misbalance and thermal instabilities. The results obtained by numerically solving the truncated system are consistent with the results obtained by solving the full system of one-dimensional MHD equations.