Fractal structures and multiparticle effects in soliton scattering

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

doi:10.1103/PhysRevE.64.056613

Fractal structures and multiparticle effects in soliton scattering

Sergey V. Dmitriev, Yuri S. Kivshar, and Takeshi Shigenari

Phys. Rev. E 64, 056613 – Published 23 October 2001

Abstract

We study in detail the interaction of composite solitary waves and consider, as an example, the breather collisions in a weakly discrete sine-Gordon equation. We reveal a physical mechanism of fractal soliton scattering associated with multiparticle effects, and demonstrate chaotic interaction of two breathers with incommensurable frequencies.

Received 8 December 2000

DOI:https://doi.org/10.1103/PhysRevE.64.056613

Authors & Affiliations

Sergey V. Dmitriev^1,*, Yuri S. Kivshar², and Takeshi Shigenari¹

¹Department of Applied Physics and Chemistry, University of Electro-Communications, Chofu-shi, Tokyo 182-8585, Japan
²Nonlinear Physics Group, Research School of Physical Sciences and Engineering, Australian National University, Canberra, Australian Capital Territory 0200, Australia

^*Permanent address: General Physics Department, Altai State Technical University, Barnaul 656099, Russia.

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Vol. 64, Iss. 5 — November 2001

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covering statistical, nonlinear, biological, and soft matter physics