Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977afz....13..697n&link_type=abstract
Astrofizika, vol. 13, Nov. 1977, p. 697-702. In Russian.
Astronomy and Astrophysics
Astronomy
1
Astronomical Models, Density Wave Model, Star Distribution, Stellar Mass, Stellar Systems, Traveling Waves, Amplitudes, Density Distribution, Gravitational Waves, Homogeneity, Phase Velocity, Wave Packets, Wavelengths
Scientific paper
The existence of nonlinear traveling density waves in a model of a stellar system with constant phase density is demonstrated. The amplitude dependence of wavelength is determined in a comoving coordinate system. It is shown that the existence region of nonlinear traveling waves decreases with increasing phase velocity and that a traveling wave does not decay into individual bunches, as does a standing wave. However, the nonlinear traveling wave is found to be unstable with respect to wave partition into packets as well as to self-contraction of wave packets.
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