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Linear modulational and subharmonic dynamics of spectrally stable Lugiato-Lefever periodic waves

  • Published:2021-04 Issue: Volume:280 Page:315-354
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Haragus Mariana,Johnson Mathew A.,Perkins Wesley R.

Funder

Simons Foundation

Agence Nationale de la Recherche

National Science Foundation

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference29 articles.

1. Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation;Barker;Physica D,2013

2. N. Boussaid, L. Delcey, Asymptotic stability of periodic solutions of the Lugiato-Lefever equation, in preparation, 2021.

3. Topical issue: theory and applications of the Lugiato-Lefever equation;Chembo;Eur. Phys. J. D,2017

4. Instabilities of periodic waves for the Lugiato-Lefever equation;Delcey;Rev. Roum. Math. Pures Appl.,2018

5. Periodic waves of the Lugiato-Lefever equation at the onset of Turing instability;Delcey;Philos. Trans. Roy. Soc. A,2018

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