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Radiationless energy exchange in three-soliton collisions

Dmitriev, Sergey V; Kevrekidis, P G; Kivshar, Yuri


We revisit the problem of the three-soliton collisions in the weakly perturbed sine-Gordon equation and develop an effective three-particle model allowing us to explain many interesting features observed in numerical simulations of the soliton collisions. In particular, we explain why collisions between two kinks and one antikink are observed to be practically elastic or strongly inelastic depending on relative initial positions of the kinks. The fact that the three-soliton collisions become...[Show more]

CollectionsANU Research Publications
Date published: 2008-10-09
Type: Journal article
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics
DOI: 10.1103/PhysRevE.78.046604


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