Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pazh...10..304a&link_type=abstract
(Pis'ma v Astronomicheskii Zhurnal, vol. 10, Apr. 1984, p. 304-310) Soviet Astronomy Letters (ISSN 0360-0327), vol. 10, Mar.-Apr
Astronomy and Astrophysics
Astronomy
3
Cosmic Gases, Density Wave Model, Gravitation Theory, Rotating Matter, Solitary Waves, Wave Propagation, Differential Equations, Nonlinear Equations, Orbital Mechanics
Scientific paper
The possibility of self-organization of solitons into envelopes of spiral density waves in gaseous disks which are not required to be marginally stable gravitationally is examined theoretically. A governing differential equation is defined for a cubic nonlinearity in the perturbation amplitude according to the leading order of the WKB approximation. An expression is derived for the amplitude of the fundamental perturbation mode in the cubic approximation, thereby describing the behavior of the disturbances near an arbitrary wavenumber. A nonlinear dispersion relation is obtained for wave packet behavior in the disk and used to predict the wavenumber ranges which will accommodate formation of the solitons envelope. The wavenumbers are noted to be commensurate with presently accepted structural lengths of the spiral patterns in the Galaxy.
Abramyan M. G.
Arutyunyan S. V.
No associations
LandOfFree
Nonlinear perturbations of a rotating, self-gravitating gaseous disk does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonlinear perturbations of a rotating, self-gravitating gaseous disk, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear perturbations of a rotating, self-gravitating gaseous disk will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1501135