Nonlinear interaction of dispersive Alfvén waves and magnetosonic waves in space plasma

This paper presents the model equations governing the nonlinear interaction between dispersive Alfvén wave (DAW) and magnetosonic wave in the low-β plasmas (β⪡me/mi; known as inertial Alfvén waves) applicable to solar corona and intermediate-β plasmas (me/mi⪡β⪡1; known as kinetic Alfvén waves) applicable to solar wind in Earth’s magnetosphere. When the ponderomotive nonlinearities are incorporated in the DAW dynamics, the model equations of DAW and magnetosonic wave turn out to be a modified Zakharov system of equations. Numerical solution of the problem has been obtained when the incident pump kinetic Alfvén wave/inertial Alfvén wave is having a small perturbation.