On the interaction of longitudinal and transversal waves in thin magnetic flux tubes.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Magnetohydrodynamics, Mhd Waves, Shock Waves

Scientific paper

An analytical investigation of the nonlinear interaction of longitudinal and transversal waves in thin magnetic flux tubes is presented and the nonlinear terms which give rise to wave generation of other modes and to shock formation are isolated. The nonlinear resonant three-wave interaction of longitudinal and transversal waves is studied together with the growth and decay behaviour of these waves. This analytical study clarifies our previous numerical computations of nonlinear wave generation and of the steepening of longitudinal as well as transversal wave profiles.

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