Generating mechanism for higher-order rogue waves
Generating mechanism for higher-order rogue waves
复制标题
高阶流氓波的产生机制
DOI：
10.1103/physreve.87.052914
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发表时间：
2013-05-24
影响因子：
2.4
通讯作者：
Fokas, A. S.
中科院分区：
文献类型：
--
作者：
He, J. S.;Zhang, H. R.;Fokas, A. S.
本文介绍了非线性薛定谔方程产生高阶反常波的一种机制：n个简并呼吸子在临界本征值λ（0）下的渐进融合和裂变产生n阶反常波.通过调节相互作用区呼吸子的相对相位，可以得到不同类型的HRW。值λ（0）是NLS方程的Lax对的本征函数的零点，并且它对应于趋向于无穷大的呼吸周期的极限。通过采用这种机制，我们证明了两个apturtures关于峰的总数，以及一个分解规则的圆形图案的阶n HRW。
We introduce a mechanism for generating higher-order rogue waves (HRWs) of the nonlinear Schrodinger (NLS) equation: the progressive fusion and fission of n degenerate breathers associated with a critical eigenvalue lambda(0) creates an order-n HRW. By adjusting the relative phase of the breathers in the interacting area, it is possible to obtain different types of HRWs. The value lambda(0) is a zero point of an eigenfunction of the Lax pair of the NLS equation and it corresponds to the limit of the period of the breather tending to infinity. By employing this mechanism we prove two conjectures regarding the total number of peaks, as well as a decomposition rule in the circular pattern of an order-n HRW.