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Fractal Structures in Multi-soliton Collisions

Dmitriev, Sergey V; Kivshar, Yuri; Shigemari, Takeshi


The breather collisions in a weakly discrete sine-Gordon (SG) equation, revealing a mechanism of fractal soliton scattering, was analyzed. The breather-breather (BB) interactions in the discrete Frenkel-Kontorova (FK) system were compared with the exact BB solution of the unperturbed SG equation. The break-up of the BB system into two separate breathers was studied as a function of the initial distance between the breathers. It was found that the breathers attract each other with a weak force...[Show more]

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
Source: Physica B
DOI: 10.1016/S0921-4526(02)00442-8


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