Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Nonlinear capillary-gravity waves in magnetic fluids

Authors: S. K. Malik and M. Singh
Journal: Quart. Appl. Math. 47 (1989), 59-70
MSC: Primary 76W05; Secondary 76B15, 76E25
DOI: https://doi.org/10.1090/qam/987895
MathSciNet review: 987895
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Abstract: The nonlinear wave propagation of capillary-gravity waves on the surface of a ferrofluid of finite depth is investigated by employing the method of multiple scales. The stability analysis reveals the existence of different regions of instability. We show that the nonlinear modulational instability cannot be suppressed by the application of a strong magnetic field, however strong it may be. The influence of the magnetic field is not only quite signficant but its effect is also different for different regions of stability.

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DOI: https://doi.org/10.1090/qam/987895
Article copyright: © Copyright 1989 American Mathematical Society

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