journal6 ›› 2014, Vol. 35 ›› Issue (4): 23-26.DOI: 10.3969/j.issn.1007-2985.2014.04.006

• Mathematics • Previous Articles     Next Articles

Rogue Wave in Coupled Nonlinear Schrdinger Equations with Variable Coefficients

 LIU  Hui   

  1. (Department of Mathematical and Physical Sciences,North China Electric Power University,Beijing 102206,China)
  • Online:2014-07-25 Published:2014-07-21

Abstract: Firstly,the special Schrdinger equations are connected to the classical coupled nonlinear Schrdinger equations by a gauge transformation.Next,rogue wave solutions of the classical coupled nonlinear Schrdinger equations are obtained through Darboux transformation.Therefore,we can get the rogue wave solutions of the coupled nonlinear Schrdinger equations with variable coefficients.Finally,the dynamic behavior of the coupled nonlinear Schrdinger equations with variable coefficients under the influence of the super-lattice potentials is discussed.

Key words: integrable system with variable coefficients, coupled nonlinear Schrdinger equations, Darboux transformation, rogue wave solutions

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