Nonlinear stability of an infinite cylinder in the presence of a uniform axial magnetic field

Chhabra, R. K. ; Trehan, S. K. (1989) Nonlinear stability of an infinite cylinder in the presence of a uniform axial magnetic field Astrophysics and Space Science, 158 (1). pp. 67-88. ISSN 0004-640X

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Official URL: http://www.springerlink.com/content/g167x3t80l05t2...

Related URL: http://dx.doi.org/10.1007/BF00637442

Abstract

The effect of a uniform axial magenetic field on the nonlinear instability of a self-gravitating infinite cylinder is examined. Using the method of multiple scales, it is found that while the nonlinear (modulational) instability cannot be completely suppressed, the presence of a magnetic field does increase the range of stable wave numbers. The evolution of the amplitude is governed by a non-linear Schrödinger equation which gives the criterion for modulational instability.

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Deposited On:04 Aug 2011 14:46
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