Nonlinear density waves in a marginally stable gravitating disk

Journal Article · Wed Jan 01 04:00:00 EST 1986 · Astrophysics (Engl. Transl.); (United States)

DOI:https://doi.org/10.1007/BF01011119· OSTI ID:5322297

Korchagin, V I

The evolution of short nonlinear density waves in a disk at the stability limit is studied for arbitrary values of the radial wave number k/sub r/. For waves with wave numbers that do not lie at the minimum of the dispersion curve, the behavior of the amplitude is described by a nonlinear parabolic equation; however, stationary soliton solutions cannot exist in such a system since there is no dispersion spreading of a packet. For wave numbers lying at the minimum of the dispersion curve, soliton structures with determined amplitude are possible. In stable gravitating disks and in a disk at the stability limit, two physically different types of soliton can exist.

• Research Organization: Rostov State Univ.
• OSTI ID: 5322297
• Journal Information: Astrophysics (Engl. Transl.); (United States), Journal Name: Astrophysics (Engl. Transl.); (United States) Vol. 23:1; ISSN ATPYA
• Country of Publication: United States
• Language: English

Related Subjects

640105* -- Astrophysics & Cosmology-- Galaxies
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMIC GASES
COSMOLOGICAL MODELS
FLUIDS
GALAXIES
GASES
GRAVITATIONAL FIELDS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
QUASI PARTICLES
SOLITONS
WAVE PACKETS
WAVE PROPAGATION