Non-linear travelling waves of stellar density in a model of a homogeneous medium.
Abstract
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.
- Publication:
-
Astrofizika
- Pub Date:
- November 1977
- Bibcode:
- 1977Afz....13..697N
- Keywords:
-
- Astronomical Models;
- Density Wave Model;
- Star Distribution;
- Stellar Mass;
- Stellar Systems;
- Traveling Waves;
- Amplitudes;
- Density Distribution;
- Gravitational Waves;
- Homogeneity;
- Phase Velocity;
- Wave Packets;
- Wavelengths;
- Astrophysics