Nonlinear disturbances in self-gravitating media

Details Nonlinear disturbances in self-gravitating media Nonlinear disturbances in self-gravitating media

Nov 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..66..133m&link_type=abstract

Astrophysics and Space Science, vol. 66, no. 1, Nov. 1979, p. 133-141.

Astronomy and Astrophysics

Astrophysics

7

Flow Stability, Gravitational Effects, Incompressible Fluids, Nonlinear Equations, Schroedinger Equation, Standing Waves, Amplitude Modulation, Flow Theory, Inviscid Flow, Perturbation Theory, Solitary Waves

Scientific paper

Using a multiple time-scale method, the weakly nonlinear waves on a self-gravitating incompressible fluid column are investigated. The analysis reveals that near the wavenumber k kc, the amplitude modulation of a standing wave can be described by the nonlinear Schroedinger equation with the roles of time and space variables interchanged. The nonlinear cutoff wavenumber, which depends sensitively on initial conditions, can then be derived from the nonlinear Schroedinger equation so obtained. The finite amplitude standing wave is stable against modulation.

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