Ling Liming, Zhao Li-Chen
Department of Mathematics, South China University of Technology, Guangzhou 510640, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):043201. doi: 10.1103/PhysRevE.88.043201. Epub 2013 Oct 2.
We present a simple representation for arbitrary-order rogue wave solution and a study on the trajectories of them explicitly. We find that the trajectories of two valleys on whole temporal-spatial distribution all look "X" -shaped for rogue waves. Additionally, we present different types of high-order rogue wave structures, which could be helpful towards realizing the complex dynamics of rogue waves.
我们给出了任意阶 rogue 波解的一种简单表示，并对其轨迹进行了明确研究。我们发现，对于 rogue 波，整个时空分布上两个波谷的轨迹均呈“X”形。此外，我们给出了不同类型的高阶 rogue 波结构，这可能有助于理解 rogue 波的复杂动力学。
