Nonlinear evolution of non-axisymmetric dynamical instability in a slender accretion torus

De Yu Wang*, Ronald E. Taam, Ding Wu

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

The nonlinear evolution of non-axisymmetric dynamical instability has been interpreted here within the framework of soliton theory. The dispersion relation of a two-dimensional slender accretion torus in the long wavelength incompressible limit is similar to that of the linearized KdV equation. We argue that the 'planet-like' solutions of nonlinear dynamical instability in the numerical simulations should be the soliton solutions of KdV equation. We also find that the vorticity of accretion disk is a non-conservation quantity due to the variation of density and entropy in the nonlinear evolution of dynamical instability. It is the cause of the redistribution of angular momentum during the instability.

Original languageEnglish (US)
Pages (from-to)99-111
Number of pages13
JournalScience in China (Scientia Sinica) Series A
Volume37
Issue number1
StatePublished - Jan 1 1994

Keywords

  • accretion disk theory
  • KdVequation
  • nonlinear dynamical instability

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

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