Resonant Alfven wave excitation in two-dimensional systems - Singularities in partial differential equations

Details Resonant Alfven wave excitation in two-dimensional systems - Singularities in partial differential equations Resonant Alfven wave excitation in two-dimensional systems - Singularities in partial differential equations

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jgr....9815541t&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 98, no. A9, p. 15,541-15,551.

Mathematics

22

Cold Plasmas, Magnetic Fields, Magnetohydrodynamic Waves, Resonance, Boundary Conditions, Partial Differential Equations, Singularity (Mathematics)

Scientific paper

The resonant excitation of Alfven waves is considered in a cold plasma embedded in a uniform magnetic field Bz. All wave fields are assumed to vary, and the background medium is invariant in y. The background density distribution rho0(x,z) is otherwise completely arbitrary. Regular and singular solutions for the waves are derived systematically in the vicinity of a resonance by considering a generalized Frobenius series, and we are able to recover many results found in earlier studies. Some new features of our work include a generalization of the overlap integral determining the efficiency with which any resonance may be excited.

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