Freezing optical rogue waves by Zeno dynamics
MetadataShow full item record
CitationBayındır, C. & Özaydın, F. (2018). Freezing optical rogue waves by zeno dynamics. Optics Communications, 413, 141-146. doi:10.1016/j.optcom.2017.12.051
We investigate the Zeno dynamics of the optical rogue waves. Considering their usage in modeling rogue wave dynamics, we analyze the Zeno dynamics of the Akhmediev breathers, Peregrine and Akhmediev-Peregrine soliton solutions of the nonlinear Schrodinger equation. We show that frequent measurements of the wave inhibits its movement in the observation domain for each of these solutions. We analyze the spectra of the rogue waves under Zeno dynamics. We also analyze the effect of observation frequency on the rogue wave profile and on the probability of lingering of the wave in the observation domain. Our results can find potential applications in optics including nonlinear phenomena.
Showing items related by title, author, creator and subject.
A note on the amplitude modulation of symmetric regularized long-wave equation with quartic nonlinearity Demiray, Hilmi (Springer, 2012-12)We study the amplitude modulation of a symmetric regularized long-wave equation with quartic nonlinearity through the use of the reductive perturbation method by introducing a new set of slow variables. The nonlinear ...
Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed korteweg-de vries equation In the present work, treating the artery as a prestressed thin-walled and long circularly cylindrical elastic tube with a mild symmetrical stenosis and the blood as an incompressible Newtonian fluid, we have studied the ...
Eden, Osman Alp; Erbay, Hüsnü Ata; Muslu, Gülçin Mihriye (Pergamon-Elsevier Science Ltd, 2008-10-15)In this note we improve the results presented previously on global existence and global nonexistence for the Solutions of the purely elliptic generalized Davey-Stewartson system. These results left a gap in the parameter ...