3 papers
math.AP2022
Spatial decay of multi-solitons of the generalized Korteweg-de Vries and nonlinear Schr{ö}dinger equations
Raphaël Côte, Xavier Friederich
We study pointwise spatial decay of multi-solitons of the generalized Korteweg-de Vries equations. We obtain that, uniformly in time, these solutions and their derivatives decay ex…
math.AP2021
On existence and uniqueness of asymptotic -soliton-like solutions of the nonlinear klein-gordon equation
Xavier Friederich
We are interested in solutions of the nonlinear Klein-Gordon equation (NLKG) in , , which behave as a soliton or a sum of solitons in large time. In the sp…
math.AP2020
Non dispersive solutions of the generalized KdV equations are typically multi-solitons
Xavier Friederich
We consider solutions of the generalized Korteweg-de Vries equations (gKdV) which are non dispersive in some sense (in the spirit of [18]) and which remain close to multi-solitons.…