Numerical study of the stability of the Peregrine breather

Autor:	Klein, C., Haragus, M.
Rok vydání:	2015
Předmět:	Mathematics - Analysis of PDEs Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	The Peregrine breather is widely discussed as a model for rogue waves in deep water. We present here a detailed numerical study of perturbations of the Peregrine breather as a solution to the nonlinear Schr\"odinger (NLS) equations. We first address the modulational instability of the constant modulus solution to NLS. Then we study numerically localized and nonlocalized perturbations of the Peregrine breather in the linear and fully nonlinear setting. It is shown that the solution is unstable against all considered perturbations.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1507.06766 Zobrazit plný text záznamu View this record from Arxiv