On the triple interaction of spiral density waves

Details On the triple interaction of spiral density waves On the triple interaction of spiral density waves

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pazh...10...14k&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 10, Jan. 1984, p. 14-18) Soviet Astronomy Letters (ISSN 0360-0327), vol. 10, Jan.-Feb.

Astronomy and Astrophysics

Astronomy

3

Density Wave Model, Disk Galaxies, Galactic Rotation, Spiral Galaxies, Wave Interaction, Nonlinear Equations, Rotating Disks, Systems Stability, Wave Equations

Scientific paper

The nonlinear interaction of three tightly wound spiral density waves in a gaseous disk of constant density is considered. A system of nonlinear equations describing the departure of the disk parameters from their equilibrium values is reduced to a single equation for the azimuthal component of the perturbed disk velocity. The equation takes into account the possibility that the main wave may break up into a pair of waves on opposite sides of the corotation resonances. The solution to the problem is obtained in the form of an interval that contains changes in the wave number k for the Galaxy in both the short-wave and long-wave modes. Several of the consequences of the interaction are briefly discussed.

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