Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987azh....64...31k&link_type=abstract
Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 64, Jan.-Feb. 1987, p. 31-37. In Russian.
Astronomy and Astrophysics
Astronomy
Cosmic Gases, Density Wave Model, Rotating Fluids, Stellar Rotation, Wave Interaction, Galactic Structure, Nonlinear Equations, Solitary Waves, Spirals
Scientific paper
The interaction of the stars of nonrotating subsystems of a galaxy with a nonlinear density wave in a rotating gaseous disk is considered. The nonrotating stellar component is represented as two subsystems rotating in opposite directions. In the linear approximation, an instability is possible, which is connected with the Lindblad resonance of the wave with the stellar subsystem rotating in the opposite direction. For nonlinear waves in the gaseous disk, which are just at the stability limit, a class of stable soliton solutions with determinate amplitude is indicated. In a stable gaseous disk soliton solutions with an arbitrary amplitude are possible. With the emergence of an instability in a stellar-gaseous system its amplitude grows with the double increment of the linear theory.
Korchagin Vladimir I.
Ryabtsev A. D.
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