Volume 108, Number 5, December 2014
|Number of page(s)||5|
|Published online||15 December 2014|
Characteristics of the nonautonomous breathers and rogue waves in a generalized Lenells-Fokas equation
1 Department of Mathematics and Physics, North China Electric Power University - Beijing 102206, PRC
2 Research Center for Ecological Engineering and Nonlinear Science, North China Electric Power University Beijing 102206, PRC
3 School of Renewable Energy Sources, North China Electric Power University - Beijing 102206, PRC
4 Institute of Electrical and Electronic Engineering, North China Electric Power University - Beijing 102206, PRC
Received: 30 September 2014
Accepted: 24 November 2014
In this paper, the nonautonomous Lenells-Fokas (LF) model is investigated with the modified Darboux transformation. Such analytical solutions of the nonautonomous LF model as the breather and rogue wave are presented. It is found that the breather velocity is time dependent. The dynamics of the periodic rogue wave, composite rogue waves and oscillating rogue wave is graphically discussed. Additionally, we observe that the breather evolves into a dark solitary wave while the rogue wave becomes a bright one by proper choices of the inhomogeneous functions. Our results could be useful for the design of experiments in the optical-fiber communications.
PACS: 02.30.Ik – Integrable systems / 42.81.Dp – Propagation, scattering, and losses; solitons / 52.35.Sb – Solitons; BGK modes
© EPLA, 2014
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