Nonlinear Schrodinger equation: Generalized Darboux transformation and rogue wave solutions
Nonlinear Schrodinger equation: Generalized Darboux transformation and rogue wave solutions
复制标题
非线性薛定谔方程：广义达布变换和流氓波解
DOI：
10.1103/physreve.85.026607
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发表时间：
2012-02-27
影响因子：
2.4
通讯作者：
Liu, Q. P.
中科院分区：
文献类型：
--
作者：
Guo, Boling;Ling, Liming;Liu, Q. P.
In this paper, we construct a generalized Darboux transformation for the nonlinear Schrodinger equation. The associated N-fold Darboux transformation is given in terms of both a summation formula and determinants. As applications, we obtain compact representations for the Nth-order rogue wave solutions of the focusing nonlinear Schrodinger equation and Hirota equation. In particular, the dynamics of the general third-order rogue wave is discussed and shown to exhibit interesting structures.
