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 soluti...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.展开更多
基金supported by the NSF of China under Grant No.10971109 and No.11271210 and K.C.Wong Magna Fund in Ningbo Universitysupported by Natural Science Foundation of Ningbo under Grant No.2011A610179.
文摘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.
