颗粒物质中存在异常波和超级异常波的可能性。
Possibility of the existence of the rogue wave and the super rogue wave in granular matter.
作者信息
Han Juan-Fang, Liang Tao, Duan Wen-Shan
机构信息
College of Physics and Electronic Engineering, Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China.
Joint Laboratory of Atomic and Molecular Physics of NWNU &IMP CAS, Northwest Normal University, 730070, Lanzhou, China.
出版信息
Eur Phys J E Soft Matter. 2019 Jan 17;42(1):5. doi: 10.1140/epje/i2019-11764-4.
By using the traditional perturbation technique, a focusing nonlinear Schrödinger equation (NLSE) for the one-dimensional bead chain with the initial prestress is first obtained. The Peregrine soliton, called the rogue wave in the present paper, and the super rogue wave are investigated both numerically and analytically. It is noted that both the rogue wave and the super rogue wave do exist in the one-dimensional bead chain. The solutions from the NLSE can correctly describe the real rogue wave as well as the real super rogue wave in the limiting case of small amplitude. Both the rogue wave and the super rogue wave propagate in the granular bead chain as if they are solitary waves.
通过使用传统的微扰技术，首先得到了具有初始预应力的一维珠链的聚焦非线性薛定谔方程（NLSE）。对本文中称为 rogue 波的 Peregrine 孤子和超级 rogue 波进行了数值和解析研究。注意到 rogue 波和超级 rogue 波在一维珠链中确实存在。NLSE 的解在小振幅的极限情况下能够正确地描述实际的 rogue 波以及实际的超级 rogue 波。rogue 波和超级 rogue 波在颗粒珠链中传播时就好像它们是孤立波一样。
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