Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
Jeffrey TopperTakuji Kawahara
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1978 年 44 巻 2 号 p. 663-666

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A systematic perturbation method is applied to three-dimensional long waves on a viscous liquid film, and the nonlinear evolution equation incorporating the effects of dissipation and dispersion is derived. It is shown that both the fourth-order derivative term as well as the three-dimensionality have stabilizing effects.
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