The effect of large Larmor radius on nonlinear Alfven waves

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Larmor Radius, Magnetohydrodynamic Waves, Schroedinger Equation, Space Plasmas, Wave Propagation, Compressible Fluids, Nonlinear Equations, Plasma Dynamics, Shock Fronts

Scientific paper

The effect of large Larmor radius on the nonlinear behavior of Alfven waves propagating parallel to a uniform magnetic field in a compressible fluid is investigated with the aid of LLR-MHD equations. It is shown that asymptotic evolution of these waves is governed by the modified nonlinear Schroedinger equation. The dispersion is provided by the large Larmor radius effect in the magnetic field equation. It is suggested that these calculations can have a bearing on the investigation of the structure of MHD waves in both laboratory and space plasmas, e.g., imploding theta pinches, laser-blow-off plasma experiment, recent barium releases in the magnetosphere, and plasma flow near small planetary bodies such as comets and plasma-dynamic near-collisionless shock fronts.

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