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Possibility of the existence of the rogue wave and the super rogue wave in granular matter

  • Juan-Fang Han
  • Tao LiangEmail author
  • Wen-Shan Duan
Regular Article
  • 26 Downloads

Abstract.

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.

Graphical abstract

Keywords

Flowing Matter: Granular Materials 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.College of Physics and Electronic Engineering, Institute of Modern PhysicsChinese Academy of SciencesLanzhouChina
  2. 2.Joint Laboratory of Atomic and Molecular Physics of NWNU &IMP CASNorthwest Normal UniversityLanzhouChina

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