Rogue Waves of the Kundu-Nonlinear Schrödinger Equation

Chengchuang Zhang, Chuanzhong Li, Jingsong He

Department of Mathematics, Ningbo University, Ningbo 315211, China.

DOI: 10.4236/ojapps.2013.31B1019                

Abstract

This paper is based on the Darboux transformation of the Kundu-Nonlinear Schrödinger equation. The rogue wave solutions are obtained from periodic seed solutions. After that, the higher order rogue wave solutions of the Kundu-Nonlinear Schrödinger equation are given. Finally, we show that free parameters in eigenfunctions can adjust the patterns of the higher order rogue waves.

Keywords

Darboux Transformation; Rogue Waves; Kundu-Nonlinear Schrödinger Equation

Conflicts of Interest

The authors declare no conflicts of interest.

References

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