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math.AP2018
The Akhmediev Breather is unstable
Miguel A. Alejo, Luca Fanelli, Claudio Muñoz
In this note, we give a rigorous proof that the NLS periodic Akhmediev breather is unstable. The proof follows the ideas in [17], in the sense that a suitable modification of the S…
math.AP2018
Uniqueness results for Zakharov-Kuznetsov equation
Lucrezia Cossetti, Luca Fanelli, Felipe Linares
In this paper we study uniqueness properties of solutions to the Zakharov-Kuznetsov equation of plasma physic. Given two sufficiently regular solutions we prove that, i…