The reflection of rarefaction waves from the earth magnetosphere

Physics

Scientific paper

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Elastic Waves, Magnetohydrodynamic Waves, Magnetospheric Instability, Rarefaction, Shock Wave Interaction, Wave Reflection, Differential Equations, Magnetopause, Solar Wind

Scientific paper

In the interaction of solar wind- shock waves with the magnetosphere, rarefaction waves, due to secondary interactions, are formed and decrease the pressure of the flux on the magnetosphere. On the basis of an approximation method for solving differential equations of magnetohydrodynamics, the reflection of magnetohydrodynamic rarefaction waves from the magnetopause and the motion of its boundary, are analyzed. The problem is reduced to the integration of a nonlinear system of equations, the finding of a solution which depends on two arbitrary functions, and the subsequent determination of these functions from the boundary conditions.

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