Dynamics of bound soliton states in regularized dispersive equations

The nonstationary dynamics of topological solitons (dislocations, domain walls, fluxons) and their bound states in one-dimensional systems with high dispersion are investigated. Dynamical features of a moving kink emitting radiation and breathers are studied analytically. Conditions of the breathe...

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Bibliographic Details
Date:2008
Main Authors: Bogdan, M.M., Charkina, O.V.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
Series:Физика низких температур
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/117344
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Dynamics of bound soliton states in regularized dispersive equations / M.M. Bogdan, O.V. Charkina // Физика низких температур. — 2008. — Т. 34, № 7. — С. 713–720. — Бібліогр.: 40 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The nonstationary dynamics of topological solitons (dislocations, domain walls, fluxons) and their bound states in one-dimensional systems with high dispersion are investigated. Dynamical features of a moving kink emitting radiation and breathers are studied analytically. Conditions of the breather excitation and its dynamical properties are specified. Processes of soliton complex formation are studied analytically and numerically in relation to the strength of the dispersion, soliton velocity, and distance between solitons. It is shown that moving bound soliton complexes with internal structure can be stabilized by an external force in a dissipative medium then their velocities depend in a step-like manner on a driving strength.