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

Chhabra, R. K. ; Trehan, S. K. (1989) Nonlinear standing waves on the surface of a self-gravitating cylinder Astrophysics and Space Science, 163 (2). pp. 341-349. ISSN 0004-640X

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Official URL: http://www.springerlink.com/content/l73g5l48807766...

Related URL: http://dx.doi.org/10.1007/BF00655751

Abstract

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, we have shown that near the critical wave number, the amplitude modulation of a standing wave can be described by a nonlinear Schrödinger equation with the roles of time and space variable interchanged. It is demonstrated that in presence of a magnetic field, the system is always stable near the critical wave number.

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Deposited On:04 Aug 2011 14:46
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