The interaction of nonlinear waves in two-dimensional dust crystals

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

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 19401-019401.doi: 10.1088/1674-1056/20/1/019401

• GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇

The interaction of nonlinear waves in two-dimensional dust crystals

姜虹, 杨晓霞, 林麦麦, 石玉仁, 段文山

College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China

收稿日期:2010-07-19 修回日期:2010-08-09 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
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).

The interaction of nonlinear waves in two-dimensional dust crystals

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)^†

College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China

Received:2010-07-19 Revised:2010-08-09 Online:2011-01-15 Published:2011-01-15
Supported by:
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).

摘要/Abstract

摘要： 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 eta 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.

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.

Key words: nonlinear waves, two-dimensional hexagonal crystal, phase shift

中图分类号: (Wave/particle interactions)

94.20.wj

52.27.Lw (Dusty or complex plasmas; plasma crystals) 05.50.+q (Lattice theory and statistics)

姜虹, 杨晓霞, 林麦麦, 石玉仁, 段文山. The interaction of nonlinear waves in two-dimensional dust crystals[J]. 中国物理B, 2011, 20(1): 19401-019401.

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[J]. Chin. Phys. B, 2011, 20(1): 19401-019401.

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The interaction of nonlinear waves in two-dimensional dust crystals

The interaction of nonlinear waves in two-dimensional dust crystals

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