4.4 Article

Characteristics of the nonautonomous breathers and rogue waves in a generalized Lenells-Fokas equation

Journal

EPL
Volume 108, Issue 5, Pages -

Publisher

EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
DOI: 10.1209/0295-5075/108/50009

Keywords

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Funding

  1. National Natural Science Foundation of China [11305060, 11101143, 11271126]
  2. Postdoctoral Science Foundation of China [2013M540907, 2014T70061]
  3. Fundamental Research Funds of the Central Universities [2012QN31, 2014ZZD10]
  4. Innovative Talents Scheme of North China Electric Power University

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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. Copyright (C) EPLA, 2014

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