The evolution of high amplitude parallel propagating MHD-waves in the vicinity of bow shocks

Details The evolution of high amplitude parallel propagating MHD-waves in the vicinity of bow shocks The evolution of high amplitude parallel propagating MHD-waves in the vicinity of bow shocks

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990p%26ss...38.1069g&link_type=abstract

Planetary and Space Science (ISSN 0032-0633), vol. 38, Aug. 1990, p. 1069-1074.

Physics

2

Amplitude Distribution Analysis, Bow Waves, Comets, Magnetohydrodynamic Waves, Shock Wave Propagation, Absorption Spectra, Energy Dissipation, Magnetoacoustic Waves, Schroedinger Equation, Solitary Waves

Scientific paper

A model based on the derivative nonlinear Schroedinger equation is used for describing high amplitude parallel-propagating Alfven and fast magnetosonic waves subject to nonlinearity and dispersion. The damping mechanisms considered in this work are either model viscosity or ion-cyclotron resonance absorption. This equation was solved numerically, and several types of solutions have been obtained as functions of the growth rate and dispersion values as well as a type of dissipation. These solutions can be subdivided in two groups corresponding to two limiting cases: solutions with a steep front (if the dispersion scale is a small parameter with respect to a characteristic length of unstable waves); and solitary wave solutions transforming into turbulent ones by changing some parameters (if the wave growth rate is a small parameter). The application of these results to MHD-wave observations upstream of the comet's bow shock is briefly considered.

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