The Akhmediev breather is unstable

Author:

Alejo Miguel A.,Fanelli Luca,Muñoz ClaudioORCID

Funder

CNPq

MathAmSud/Capes

FONDECYT

Conicyt

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Statistics, Probability and Uncertainty,General Mathematics

Reference20 articles.

1. Akhmediev, N., Ankiewicz, A., Taki, M.: Waves that appear from nowhere and disappear without a trace. Phys. Lett. A 373, 675–678 (2009)

2. Akhmediev, N., Korneev, V.I.: Modulation instability and periodic solutions of the nonlinear Schrödinger equation. Theor. Math. Phys. 69, 1089–1093 (1986)

3. Alejo, M.A.: Nonlinear stability of Gardner breathers. J. Diff. Equ. 264(2), 1192–1230 (2018)

4. Alejo, M.A., Cortez, F., Muñoz, C.: Variational structure of breathers in strongly ill-posed equations (2018) (under preparation)

5. Alejo, M.A., Fanelli, L., Muñoz, C.: Stability and instability of breathers in the $$U(1)$$ Sasa-Satsuma and nonlinear Schrödinger models. Preprint arXiv:1901.10381

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