Statistics – Computation
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985afz....22..487a&link_type=abstract
(Astrofizika, vol. 22, May-June 1985, p. 487-503) Astrophysics (ISSN 0571-7132), vol. 22, no. 3, Nov. 1985, p. 288-298. Translat
Statistics
Computation
2
Cosmic Gases, Density Wave Model, Nonlinear Equations, Solitary Waves, Spiral Galaxies, Approximation, Computational Astrophysics, Dynamic Stability, Gravitational Fields, Velocity Distribution
Scientific paper
The perturbations of a self-gravitating gas disk are investigated allowing for nonlinear effects up to the fifth order. The critical value of the surface polytropic index below which explosive instability of the disk develops is reduced, by virtue of the terms of the fifth order nonlinearity, by an amount proportional to the square of the perturbation amplitude. The correction to the amplitude and the small changes in the profile of the cubic soliton depend on the velocity of the perturbations. The stability of the solitons is investigated, and the corrections to the growth rates of the cubic solitons are obtained.
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