The interaction of nonlinear waves in two-dimensional dust crystals  

The interaction of nonlinear waves in two-dimensional dust crystals

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作  者:姜虹 杨晓霞 林麦麦 石玉仁 段文山 

机构地区:[1]College of Physics and Electronic Engineering,Northwest Normal University

出  处:《Chinese Physics B》2011年第1期713-719,共7页中国物理B(英文版)

基  金:Project supported by the National Natural Science Foundation of China(Grant No.10875098);the Scientific and Technical Innovation Foundation of Northwest Normal University(Grant No.NWNU-KJCXGC-0348)

摘  要:This paper investigates the collision between two nonlinear waves with different propagation directions in two- dimensional dust crystals. Using the extended Poincare-Lighthill-Kuo perturbation method, two Korteweg-de Vries equations for nonlinear waves in both the ξ and η directions are obtained, respectively, and the analytical phase shifts and trajectories after the collision of two nonlinear waves are derived. Finally, the effects of parameters of the lattice constant a, the arbitrary constant u0η, the forces f(r), and the colliding angle θ on the phase shifts of both colliding nonlinear waves are examined.This paper investigates the collision between two nonlinear waves with different propagation directions in two- dimensional dust crystals. Using the extended Poincare-Lighthill-Kuo perturbation method, two Korteweg-de Vries equations for nonlinear waves in both the ξ and η directions are obtained, respectively, and the analytical phase shifts and trajectories after the collision of two nonlinear waves are derived. Finally, the effects of parameters of the lattice constant a, the arbitrary constant u0η, the forces f(r), and the colliding angle θ on the phase shifts of both colliding nonlinear waves are examined.

关 键 词:nonlinear waves two-dimensional hexagonal crystal phase shift 

分 类 号:O53[理学—等离子体物理]

 

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