Formation of soliton complexes in dispersive systems
The concept of soliton complex in a nonlinear dispersive medium is formulated. It is shown that interacting identical topological solitons in the medium can form bound soliton complexes which move without radiation. This phenomenon is considered to be universal and applicable to various physical s...
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| Datum: | 1999 |
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| Hauptverfasser: | , , |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
1999
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/120385 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Formation of soliton complexes in dispersive systems / M.M. Bogdan, A.M. Kosevich, G.A. Maugin // Condensed Matter Physics. — 1999. — Т. 2, № 2(18). — С. 255-265. — Бібліогр.: 15 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | The concept of soliton complex in a nonlinear dispersive medium is formulated. It is shown that interacting identical topological solitons in the
medium can form bound soliton complexes which move without radiation.
This phenomenon is considered to be universal and applicable to various physical systems. The soliton complex and its “excited” states are described analytically and numerically as solutions of nonlinear dispersive
equations with the fourth and higher order spatial or mixed derivatives.
The dispersive sine-Gordon, double and triple sine-Gordon, and piecewise
models are studied in detail. Mechanisms and conditions of the formation
of soliton complexes, and peculiarities of their stationary dynamics are investigated. A phenomenological approach to the description of the complexes and the classification of all the possible complex states are proposed. Some examples of physical systems, where the phenomenon can
be experimentally observed, are briefly discussed. |
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