Nonlinear density waves in a marginally stable gravitating disk

Details Nonlinear density waves in a marginally stable gravitating disk Nonlinear density waves in a marginally stable gravitating disk

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985afz....23...91k&link_type=abstract

(Astrofizika, vol. 23, July-Aug. 1985, p. 91-97) Astrophysics (ISSN 0571-7132), vol. 23, no. 1, Jan. 1986, p. 428-431. Translati

Astronomy and Astrophysics

Astrophysics

Density Wave Model, Disk Galaxies, Nonlinear Evolution Equations, Solitary Waves, Spiral Galaxies, Amplitudes, Gravitational Fields, Parabolic Differential Equations, Systems Stability, Wave Dispersion

Scientific paper

The evolution of short nonlinear density waves in a marginally stable gaseous disk is considered. Dispersion is absent in the marginally stable disk. So the stationary solitary waves caused by the balance of dispersion and nonlinearity do not exist. The solitary waves with determined amplitude exist in the marginally stable disk if the radial wave number lies in the minimum of the dispersion curve. So in a gravitating disk two distinct types of solitary waves may exist. In stable disks their existence is caused by the balance of nonlinearity and dispersion and in the marginally stable disks it is caused by the balance of Jeans instability and nonlinearity.

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