摘要
The nonlinear evolution of non-axisymmetric dynamical instability has been interpreted here wuhin 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 he 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.
The nonlinear evolution of non-axisymmetric dynamical instability has been interpreted here wuhin 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 he 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.
基金
Project supported by the Chinese Academy of Sciences
the National Science Foundation of the United States
