371 citations · 1.1k across the 29 of their papers we have counts for
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patt-sol1994★ 42 cited
The Korteweg-de Vries Hierarchy and Long Water-Waves
R. A. Kraenkel, M. A. Manna, J. G. Pereira
By using the multiple scale method with the simultaneous introduction of multiple times, we study the propagation of long surface-waves in a shallow inviscid fluid. As a consequenc…
patt-sol1994★ 2 cited
Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation
R. A. Kraenkel, J. G. Pereira, M. A. Manna
We consider a system formed by an infinite viscous liquid layer with a constant horizontal temperature gradient, and a basic nonlinear bulk velocity profile. In the limit of long-w…