The interaction of nonlinear waves in two-dimensional dust crystals

doi:10.1088/1674-1056/20/1/019401

Abstract This paper investigates the collision between two nonlinear waves with different propagation directions in two-dimensional dust crystals. Using the extended Poincaré–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 u_0η, the forces f(r), and the colliding angle θ on the phase shifts of both colliding nonlinear waves are examined.

Keywords: nonlinear waves two-dimensional hexagonal crystal phase shift

Received: 19 July 2010
Revised: 09 August 2010
Accepted manuscript online:

PACS:	94.20.wj	(Wave/particle interactions)
	52.27.Lw	(Dusty or complex plasmas; plasma crystals)
	05.50.+q	(Lattice theory and statistics)

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

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Jiang Hong(姜虹), Yang Xiao-Xia(杨晓霞), Lin Mai-Mai(林麦麦), Shi Yu-Ren(石玉仁), and Duan Wen-Shan(段文山) The interaction of nonlinear waves in two-dimensional dust crystals 2011 Chin. Phys. B 20 019401

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The interaction of nonlinear waves in two-dimensional dust crystals

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