8 papers
The Kadomtsev-Petviashvili equation in conformal variables for waves over topography
David Andrade, Marcelo V. Flamarion
The conformal mapping approach is a well established technique for solving the Euler equations for potential flows with one spatial dimension. In this work, we extend this framewor…
The effect of normal electric fields on the Stokes drift
Luiz P. Palacio, Marcelo V. Flamarion, Tao Gao +1
In periodic wave motion, particles beneath the wave undergo a drift in the direction of wave propagation, a phenomenon known as Stokes drift. While extensive research has been cond…
Spring-mass behavior of solitons under the influence of an external force field within the modified Korteweg-de Vries equation
Marcelo V. Flamarion, Efim Pelinovsky, Ioann Melnikov
We investigate the interaction of solitons with an external periodic field within the framework of the modified Korteweg-de Vries (mKdV) equation. In the case of small perturbation…
Flow Structures Beneath Stationary Waves with Constant Vorticity Over Variable Topography
L. G. Martins, M. V. Flamarion, R. Ribeiro-Jr
The flow structures beneath waves have received significant attention from both theoretical and numerical perspectives. Most studies on this topic assume a flat bottom, leading to…
On the linearity and stability of electrostatic structures based on the Schamel equation
Hans Schamel, Efim Pelinovsky, Marcelo V Flamarion
This paper contributes in the first part to the correct understanding of the linear limit in the Schamel equation (S-equation) from the perspective of structure formation in collis…
Wave evolution within the Cubic Vortical Whitham equation
Marcelo V. Flamarion, Efim Pelinovsky
In this work, we study the evolution of disturbances within the framework of the Cubic Vortical Whitham (CV-Whitham) equation, considering both positive and negative cubic nonlinea…