Showing 2020Show all
2 papers · 1 filter
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.…
math.AP2020
On smoothness and uniqueness of multi-solitons of the non-linear Schr{ö}dinger equations
Raphaël Côte, Xavier Friederich
In this paper, we study some properties of multi-solitons for the non-linear Schr{ö}dinger equations in R^d with general non-linearities. Multi-solitons have already been construct…