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The interaction of nonlinear waves in two-dimensional dust crystals

姜虹  杨晓霞  林麦麦  石玉仁  段文山  
【摘要】:This paper investigates the collision between two nonlinear waves with different propagation directions in twodimensional 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 u 0η,the forces f(r),and the colliding angle θ on the phase shifts of both colliding nonlinear waves are examined.
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