Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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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: 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.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/757174
Article copyright: © Copyright 1984 American Mathematical Society


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