All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Volume , Number , , Pages -                                                                DOI:
Darboux transformations, multisolitons, breather and rogue wave solutions for a higher-order dispersive nonlinear Schrodinger equation
Hongyi Zhang,Yufeng Zhang
Keywords:Darboux transformation; Higher-order dispersive nonlinear Schrodinger equation; Solitons; Breather waves; Rogue waves
      In this paper, dynamic of a higher-order dispersive nonlinear Schrodinger equation is investigated. Firstly, we obtain the determinant representation of the N-fold Darboux transformations of the Schrodinger equation. Then based on the above analysis, we get the one-soliton, two-soliton and the breather wave solution. Furthermore, the first-order rogue wave is derived by means of a Taylor expansion of the breather wave. Finally, by selecting some special parameters and drawing the 3-D and 2-D graphs to better describe the dynamic traits of those solutions.
PDF      Download reader