The Rogue Waves with Quintic Nonlinearity and Nonlinear Dispersion effects in Nonlinear Optical Fibers

Li-Chen Zhao; Chong Liu; Zhan-ying Yang

doi:10.1016/j.cnsns.2014.04.002

The Rogue Waves with Quintic Nonlinearity and Nonlinear Dispersion effects in Nonlinear Optical Fibers

Pattern Formation and Solitons 2014-07-15 v1 Optics

Authors: Li-Chen Zhao , Chong Liu , Zhan-ying Yang

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Abstract

We present exact rational solution for a modified nonlinear Schr $\ddot{o}$ dinger equation that takes into account quintic nonlinearity and nonlinear dispersion corrections to the cubic nonlinearity, which could be used to describe rogue wave in nonlinear fibers. We find the rogue wave with these higher order effects has identical shape with the well-known one in nonlinear Schr $\ddot{o}$ dinger equation. However, the quintic nonlinear term and nonlinear dispersion effect affect the velocity of rogue wave, and the evolution of its phase.

Keywords

rogue waves nonlinear Schrödinger equation quintic nonlinearity nonlinear dispersion optical fibers rational solutions

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@article{arxiv.1312.3397,
  title  = {The Rogue Waves with Quintic Nonlinearity and Nonlinear Dispersion effects in Nonlinear Optical Fibers},
  author = {Li-Chen Zhao and Chong Liu and Zhan-ying Yang},
  journal= {arXiv preprint arXiv:1312.3397},
  year   = {2014}
}

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4 pages, 2 figures

The Rogue Waves with Quintic Nonlinearity and Nonlinear Dispersion effects in Nonlinear Optical Fibers

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