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FINITE-AMPLITUDE SURFACE WAVES IN ELECTROHYDRODYNAMICS
RAMA KANT, R. K. JINDIA and S. K. MALIK
Quarterly of Applied Mathematics
Vol. 39, No. 1 (April 1981), pp. 23-32
Published by: Brown University
Stable URL: http://www.jstor.org/stable/43637071
Page Count: 10
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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.
Quarterly of Applied Mathematics © 1981 Brown University