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math.AP2024
Sharp blow-up stability for self-similar solutions of the modified Korteweg-de Vries equation
Simão Correia, Raphaël Côte
We consider the modified Korteweg-de Vries equation. Given a self-similar solution, and a subcritical perturbation of any size, we prove that there exists a unique solution to the…
math.AP2022
Improved uniqueness of multi-breathers of the modified Korteweg-de Vries equation
Raphaël Côte, Alexander Semenov
We consider multi-breathers of (mKdV). Previously, a smooth multi-breather was constructed, and proved to be unique in two cases: first, if the class of super-polynomial convergenc…