Modulation instability of spiral density waves - High-order nonlinearity effects

Details Modulation instability of spiral density waves - High-order nonlinearity effects Modulation instability of spiral density waves - High-order nonlinearity effects

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985azh....62..202k&link_type=abstract

(Astronomicheskii Zhurnal, vol. 62, Mar.-Apr. 1985, p. 202-208) Soviet Astronomy (ISSN 0038-5301), vol. 29, Mar.-Apr. 1985, p. 1

Astronomy and Astrophysics

Astronomy

2

Density Wave Model, Gravitational Fields, Rotating Disks, Approximation, Group Velocity, Modulation, Nonlinear Equations

Scientific paper

The evolution of the envelope of a tightly wound spiral density wave in a gravitating gaseous disk is investigated, including nonlinear terms to fifth order in the amplitude. These terms in the expansion of the fundamental harmonic set limits on the applicability of the weakly nonlinear approximation, and demonstrate that the group velocity depends on the wave amplitude. For a disk with solar-neighborhood parameters and a spiral pattern speed of 20 km/sec kpc, the fifth-order nonlinearity will be significant if the wave amplitude is not too small. Allowance must also be made for fifth-order nonlinearity if the coefficient of the cubic nonlinearity vanishes.

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