Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...396..549w&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 396, no. 2, Sept. 10, 1992, p. 549-574. Research supported by Bartol Resear
Astronomy and Astrophysics
Astrophysics
1
Cosmic Rays, Magnetoacoustic Waves, Shock Waves, Wave Diffraction, Eikonal Equation, Green'S Functions, Hall Effect, Korteweg-Devries Equation, Magnetic Field Configurations, Perturbation Theory
Scientific paper
Weakly multidirectional, long-wavelength cosmic-ray-modified shocks are studied via multiple scale perturbation techniques. The effects of diffraction are discussed in terms of Green's function solutions of the linearized 1 + 3D Burgers and 1 + 3D KdVB equations, and also in terms of solutions with singular Dirac delta initial distributions. The solutions show a monotonic decrease of the wave-front curvature with increasing time owing to the effects of wave diffraction. The shape of the wave surface is discussed in terms of solutions S to the wave eikonal equation corresponding to singular initial conditions. For the fast magnetosonic wave propagating in the positive x-direction, the wave phase surface S = 0 has elliptic cross sections with the planes x = constant and has a convex paraboloidal shape. Plane-wave solutions of the 1 + 3D KdVB equation are discussed.
Webb Gary M.
Zank Gary P.
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