54 citations · 191 across the 45 of their papers we have counts for
4 papers · 2 filters
On a class of solutions to the generalized derivative Schrödinger equations
Felipe Linares, Gustavo Ponce, Gleison N. Santos
In this work we shall consider the initial value problem associated to the generalized derivative Schrödinger equations \begin{equation*} \p_tu=i\p_x^2u + μ\,|u|^{\a}\p_xu, \hskip1…
Large data scattering for the defocusing supercritical generalized KdV equation
Luiz G. Farah, Felipe Linares, Ademir Pastor +1
We consider the defocusing supercritical generalized Korteweg-de Vries (gKdV) equation , where is an even integer number. We…
On Whitham and related equations
C. Klein, F. Linares, D. Pilod +1
The aim of this paper is to study, via theoretical analysis and numerical simulations, the dynamics of Whitham and related equations. In particular we establish rigorous bounds bet…
The Cauchy problem for the fractional Kadomtsev-Petviashvili equations
Felipe Linares, Didier Pilod, Jean-Claude Saut
The aim of this paper is to prove various ill-posedness and well-posedness results on the Cauchy problem associated to a class of fractional Kadomtsev-Petviashvili (KP) equations i…