Discontinuities formed by steepening the nonlinear Alfven waves

Details Discontinuities formed by steepening the nonlinear Alfven waves Discontinuities formed by steepening the nonlinear Alfven waves

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995sowi.conf...78l&link_type=abstract

Pusan Univ., International Solar Wind 8 Conference, p. 78

Physics

1

Solar Wind, Magnetohydrodynamic Waves, Discontinuity, Shock Waves, Equations Of Motion, Nonlinear Systems

Scientific paper

Montgomery (1959) first studied how Alfven waves steepen to form collisionless shocks by use of a two-fluid model. He solved the coupled Lorentz equations of motion for electrons and ions and Maxwell equations by a perturbation technique and showed that linearized polarized Alfven waves in the course of time steepen to form shocks. We have extended this work and have obtained exact simple wave solutions and show that in the limit of slow fluid time scales, we recover the earlier result of Montgomery. For an arbitrary fluid time scale, the solutions include elliptically polarized Alfven waves which also steepen and evolve into shocks. These nonlinear Alfven waves are important in the study of the dynamic solar wind discontinuities.

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