Abstract
In this note, we give a rigorous proof that the NLS periodic Akhmediev breather
is unstable. The proof follows the ideas in Muñoz (Proyecciones (Antofagasta)
36(4):653–683, 2017), in the sense that a suitable modification of the Stokes wave
is the global attractor of the local Akhmediev dynamics for sufficiently large time,
and therefore the latter cannot be stable in any suitable finite energy periodic Sobolev
space.
Indexation
Artículo de publicación SCOPUS