Nonlinear dispersive instabilities in magnetic fluids

Authors:
S. K. Malik and M. Singh

Journal:
Quart. Appl. Math. **42** (1984), 359-371

MSC:
Primary 76E30; Secondary 35Q20

DOI:
https://doi.org/10.1090/qam/757174

MathSciNet review:
757174

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Abstract | References | Similar Articles | Additional Information

Abstract: An asymptotic nonlinear theory of the two superposed magnetic fluids is presented taking into account the spatial as well as temporal effects. A generalized formulation of the evolution equation governing the amplitude is developed which leads to the nonlinear Klein-Gordon equation. The various stability criteria are derived from this equation. Obtained also are the bell shaped soliton and the kink solutions.

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Additional Information

DOI:
https://doi.org/10.1090/qam/757174

Article copyright:
© Copyright 1984
American Mathematical Society