Nonlinear standing waves on the surface of a self-gravitating cylinder

Details Nonlinear standing waves on the surface of a self-gravitating cylinder Nonlinear standing waves on the surface of a self-gravitating cylinder

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.163..341c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 163, no. 2, Jan. 1990, p. 341-349.

Astronomy and Astrophysics

Astrophysics

1

Cylinders, Gravitation Theory, Gravitational Fields, Standing Waves, Surface Waves, Incompressible Flow, Magnetic Field Configurations, Schroedinger Equation

Scientific paper

The weakly nonlinear standing waves on the surface of a self-gravitating incompressible fluid column are investigated in the presence of a uniform axial-magnetic field. By use of the method of multiple scales, it is shown that near the critical wave number, the amplitude modulation of a standing wave can be described by a nonlinear Schroedinger equation with the roles of time and space variable interchanged. It is demonstrated that in the presence of a magnetic field, the system is always stable near the critical wave number.

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