Rogue wave solutions for the infinite integrable nonlinear Schrodinger equation hierarchy

被引：32
|
作者：
Ankiewicz, A. [1 ]
Akhmediev, N. [1 ]
机构：
[1] Australian Natl Univ, Res Sch Phys & Engn, Opt Sci Grp, Canberra, ACT 2600, Australia
来源：
PHYSICAL REVIEW E | 2017年 / 96卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
HEISENBERG SPIN CHAIN; WATER-WAVES;
D O I：
10.1103/PhysRevE.96.012219
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We present rogue wave solutions of the integrable nonlinear Schrodinger equation hierarchy with an infinite number of higher-order terms. The latter include higher-order dispersion and higher-order nonlinear terms. In particular, we derive the fundamental rogue wave solutions for all orders of the hierarchy, with exact expressions for velocities, phase, and "stretching factors" in the solutions. We also present several examples of exact solutions of second-order rogue waves, including rogue wave triplets.
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收藏
页数：8
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