Fractal structures in multi-soliton collisions

Sergey V. Dmitriev; Yuri S. Kivshar; Takeshi Shigenari

doi:10.1016/S0921-4526(02)00442-8

Fractal structures in multi-soliton collisions

Sergey V. Dmitriev^*, Yuri S. Kivshar, Takeshi Shigenari

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	139-142
Number of pages	4
Journal	Physica B: Condensed Matter
Volume	316-317
DOIs	https://doi.org/10.1016/S0921-4526(02)00442-8
Publication status	Published - May 2002

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title = "Fractal structures in multi-soliton collisions",

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.",

keywords = "Fractal scattering, Sine-Gordon equation, Soliton collision, Soliton gas",

author = "Dmitriev, {Sergey V.} and Kivshar, {Yuri S.} and Takeshi Shigenari",

year = "2002",

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doi = "10.1016/S0921-4526(02)00442-8",

language = "English",

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journal = "Physica B: Condensed Matter",

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T1 - Fractal structures in multi-soliton collisions

AU - Dmitriev, Sergey V.

AU - Kivshar, Yuri S.

AU - Shigenari, Takeshi

PY - 2002/5

Y1 - 2002/5

N2 - 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.

AB - 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.

KW - Fractal scattering

KW - Sine-Gordon equation

KW - Soliton collision

KW - Soliton gas

UR - http://www.scopus.com/inward/record.url?scp=0036566889&partnerID=8YFLogxK

U2 - 10.1016/S0921-4526(02)00442-8

DO - 10.1016/S0921-4526(02)00442-8

M3 - Article

SN - 0921-4526

VL - 316-317

SP - 139

EP - 142

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

ER -

Fractal structures in multi-soliton collisions

Abstract

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