摘要
通过推广的达布变换方法给出双耦合非线性薛定谔方程的怪波解。在同一谱参数下,对基于规范变换的达布变换进一步推广,得到二阶达布变换;从种子解出发,利用代数运算得到方程的单怪波解及双怪波解。最后对怪波解的三维图像以及密度图象进行分析,阐释了怪波在海洋中出现毫无征兆,衰退迅速的现象。
The rogue wave solutions of the dual coupled nonlinear Schrdinger equation are obtained through the generalized Darboux transformation method. The Darboux transformation is generalized based on the gauge transformation,and the two-fold Darboux transformation can be got by summarizing under the same spectrum parameter. Starting from the seed solution,the one-order and twoorder rogue wave solutions are gained through algebraic operation. Finally the three-dimensional image and density images of the rogue wave solutions are analyzed,interpreting the phenomenon that rogue wave appears with no sign and declines rapidly.
出处
《北京信息科技大学学报（自然科学版）》
2015年第6期92-96,共5页
Journal of Beijing Information Science and Technology University
关键词
达布变换
推广的达布变换
双耦合非线性薛定谔方程
怪波解
Darboux transformation
generalized Darboux transformation
dual coupled nonlinear Schrodinger equation
rogue wave solutions
