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Article Dans Une Revue Revue roumaine de mathématiques pures et appliquées Année : 2018

Instabilities of periodic waves for the Lugiato-Lefever equation

Résumé

Abstract The Lugiato-Lefever equation arises as a model in nonlinear optics. Using tools from bifurcation theory, we study the existence and the stability of periodic steady waves which bifurcate from spatially constant solutions. For the stability problem, we focus on subharmonic perturbations, i.e., spatially periodic perturbations with periods equal to an integer multiple of the period of the steady wave. © 2018 Revue Roumaine de Mathematiques Pures et Appliquees.All right reserved.
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hal-02300048 , version 1 (29-09-2019)

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  • HAL Id : hal-02300048 , version 1

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Lucie Delcey, Mariana Haragus. Instabilities of periodic waves for the Lugiato-Lefever equation. Revue roumaine de mathématiques pures et appliquées, 2018, 63, pp.377 - 399. ⟨hal-02300048⟩
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