14 citations · 30 across the 5 of their papers we have counts for
5 papers
Multiple-Time Higher-Order Perturbation Analysis of the Regularized Long-Wavelength Equation
R. A. Kraenkel, M. A. Manna, V. Merle +2
By considering the long-wave limit of the regularized long wave (RLW) equation, we study its multiple-time higher-order evolution equations. As a first result, the equations of the…
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…
Boussinesq Solitary-Wave as a Multiple-Time Solution of the Korteweg-de Vries Hierarchy
R. A. Kraenkel, M. A. Manna, J. C. Montero +1
We study the Boussinesq equation from the point of view of a multiple-time reductive perturbation method. As a consequence of the elimination of the secular producing terms through…
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…