Computer Science – Sound
Scientific paper
Jul 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996aipc..382..339w&link_type=abstract
Proceedings of the eigth international solar wind conference: Solar wind eight. AIP Conference Proceedings, Volume 382, pp. 339
Computer Science
Sound
2
Magnetohydrodynamics And Plasmas, Solar Wind Plasma, Sources Of Solar Wind, Magnetohydrodynamic Waves
Scientific paper
A formulation of Hamiltonian and Lagrangian variational principles, Lie point symmetries and conservation laws for the triple degenerate DNLS equations describing the propagation of weakly nonlinear dispersive MHD waves along the ambient magnetic field, in β~1 plasmas is given. The equations describe the interaction of the Alfvén and magnetoacoustic modes near the triple umbilic point, where the fast magnetosonic, slow magnetosonic and Alfvén speeds coincide and ag2=VA2 where ag is the gas sound speed and VA is the Alfvén speed. A discussion is given of the travelling wave similarity solutions of the equations, which include solitary wave and periodic traveling waves. Strongly compressible solutions indicate the necessity for the insertion of shocks in the flow, whereas weakly compressible, near Alfvénic solutions resemble similar, shock free travelling wave solutions of the DNLS equation.
Brio M.
Webb Gary M.
Zank Gary P.
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