7 citations · 18 across the 6 of their papers we have counts for
3 papers · 1 filter
Reductive Perturbation Method, Multiple-Time Solutions and the KdV Hierarchy
R. A. Kraenkel, M. A. Manna, J. C. Montero +1
We apply a multiple-time version of the reductive perturbation method to study long waves as governed by the Boussinesq model equation. By requiring the absence of secular producin…
The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation
R. A. Kraenkel, M. A. Manna, J. C. Montero +1
We apply a multiple-time version of the reductive perturbation method to study long waves as governed by the shallow water wave model equation. As a consequence of the requirement…
Dissipative Boussinesq System of Equations in the Bénard-Marangoni Phenomenon
R. A. Kraenkel, S. M. Kurcbart, J. G. Pereira +1
By using the long-wave approximation, a system of coupled evolution equations for the bulk velocity and the surface perturbations of a Bénard-Marangoni system is obtained. It inclu…