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Fractal Structures in Multi-soliton Collisions

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Date

2002

Authors

Dmitriev, Sergey V
Shigemari, Takeshi
Kivshar, Yuri

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

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 in a weakly discrete SG system.

Description

Keywords

Keywords: Degrees of freedom (mechanics); Electron scattering; Equations of motion; Fractals; Kinetic energy; Lattice constants; Perturbation techniques; Lattice spacing; Multi-soliton collisions; Solitons Fractal scattering; Sine-Gordon equation; Soliton collision; Soliton gas

Citation

URI

http://hdl.handle.net/1885/92239

Collections

ANU Research Publications

Source

Physica B

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1016/S0921-4526(02)00442-8

Restricted until

2037-12-31

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