Nonlinear stability of an infinite cylinder in the presence of a uniform axial magnetic field
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.
KeywordsMagnetic Field Multiple Scale Modulational Instability Nonlinear Stability Axial Magnetic Field
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