Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Finite-amplitude surface waves in electrohydrodynamics


Authors: Rama Kant, R. K. Jindia and S. K. Malik
Journal: Quart. Appl. Math. 39 (1981), 23-32
DOI: https://doi.org/10.1090/qam/99627
MathSciNet review: QAM99627
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Abstract | References | Additional Information

Abstract: The stability of weakly nonlinear waves on the surface of a fluid layer in the presence of an applied electric field is investigated by using the derivative expansion method. A nonlinear Schrödinger equation for the complex amplitude of quasi-monochromatic traveling wave is derived. The wave train of constant amplitude is unstable against modulation. The equation governing the amplitude modulation of the standing wave is also obtained which yields the nonlinear cut-off wave number.


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

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Additional Information

DOI: https://doi.org/10.1090/qam/99627
Article copyright: © Copyright 1981 American Mathematical Society


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