7 citations · 18 across the 6 of their papers we have counts for
6 papers
Wind-wave interaction in finite depth: linear and nonlinear approaches, blow-up and soliton breaking in finite time, integrability perspectives
A. Latifi, M. A. Manna, R. A. Kraenkel
This work is an analytical investigation of the evolution of surface water waves in Miles and Jeffreys theories of wind wave interaction in water of finite depth. The present revie…
Theory of small aspect ratio waves in deep water
A. Kraenkel, J. Leon, M. A. Manna
In the limit of small values of the aspect ratio parameter (or wave steepness) which measures the amplitude of a surface wave in units of its wave-length, a model equation is deriv…
Modified Korteweg-de Vries Hierachies in Multiple-Times Variables and the Solutions of Modified Boussinesq Equations
M. A. Manna, V. Merle
We study solitary-wave and kink-wave solutions of a modified Boussinesq equation through a multiple-time reductive perturbation method. We use appropriated modified Korteweg-de Vri…
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…