19 citations · 19 across the 16 of their papers we have counts for
13 papers
Soliton interactions with an external forcing: the modified Korteweg-de Vries framework
Marcelo V. Flamarion, Efim Pelinovsky
The aim of this work is to study asymptotically and numerically the interaction of solitons with an external forcing with variable speed using the forced modified Korteweg-de Vries…
Solitary wave collisions for Whitham-Boussinesq systems
Marcelo V. Flamarion, Rosa M. Vargas-Magaña
This work concerns soliton-type numerical solutions for two Whitham-Boussinesq-type models. Solitary waves are computed using an iterative Newton-type and continuation methods with…
Solitary wave interactions with a periodic forcing: the extended Korteweg-de Vries framework
Marcelo V. Flamarion, Efim Pelinovsky
The aim of this work is to study numerically the interaction of large amplitude solitary waves with an external periodic forcing using the forced extended Korteweg-de Vries equatio…
Numerical stability of solitary waves in flows with constant vorticity for the Euler equations
Eduardo M. Castro, Marcelo V. Flamarion, Roberto Ribeiro-Jr
The study of the Euler equations in flows with constant vorticity has piqued the curiosity of a considerable number of researchers over the years. Much research has been conducted…
Solitary waves on flows with an exponentially sheared current and stagnation points
Marcelo V. Flamarion, Roberto Ribeiro-Jr
While several articles have been written on water waves on flows with constant vorticity, little is known about the extent to which a nonconstant vorticity affects the flow structu…
The wave stability of solitary waves over a bump for the full Euler equations
Marcelo V. Flamarion, Roberto Ribeiro-Jr
In this work, we present a numerical study of the wave stability of steady solitary waves over a localised topographic obstacle through the full Euler equations. There are two bran…