On the nonlinear theory for the stability of a rotating gravitating disk

Details On the nonlinear theory for the stability of a rotating gravitating disk On the nonlinear theory for the stability of a rotating gravitating disk

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982pazh....8..751a&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 8, Dec. 1982, p. 751-755) Soviet Astronomy Letters (ISSN 0360-0327), vol. 8, Nov.-Dec.

Astronomy and Astrophysics

Astronomy

4

Astronomical Models, Disk Galaxies, Gravitational Fields, Nonlinearity, Rotating Matter, Spiral Galaxies, Cosmic Gases, Galactic Evolution, Motion Stability, Solitary Waves, Stellar Evolution

Scientific paper

An equation for small but finite perturbations propagated through the plane of a rotating, gravitating gaseous disk is derived that includes fifth-order nonlinear effects. The breakup-instability criterion for the disk differs from the corresponding criterion in the cubic-nonlinearity case. Two branches of soliton-type solutions are obtained which differ from each other in their structure and formation conditions as well as in their stability.

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