Computer Science – Numerical Analysis
Scientific paper
Jul 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986afz....25..149k&link_type=abstract
(Astrofizika, vol. 25, July-Aug. 1986, p. 149-159) Astrophysics (ISSN 0571-7132), vol. 25, no. 1, Jan. 1987, p. 442-448. Transla
Computer Science
Numerical Analysis
Celestial Mechanics, Density Wave Model, Numerical Analysis, Amplitudes, Perturbation Theory, Solitary Waves, Wave Equations
Scientific paper
The behavior of nonlinear packets of spiral density waves in a gas disk is investigated numerically for different initial wave amplitudes. If the amplitude of the density perturbations is less than 5 percent, then the wave packet moves toward the disk's periphery. The dynamics of wave packets with initial density amplitudes of 16, 30, and 50 percent shows nonlinear behavior. If the wave packet dynamics is determined by the cubic nonlinearity, the numerical results agree qualitatively and quantitatively with the nonlinear theory of short waves; however, the packet's characteristic scale and wavelength are of the order of the disk radius. When the nonlinear effects of higher orders of amplitude play an important role, the behavior of the packet does not differ qualitatively from the behavior predicted by the theory of cubic nonlinearity, but the nonlinear spreading of the packet takes place more rapidly.
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