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"Supersolitons" in periodically inhomogeneous long Josephson junctions

Malomed, Boris; Oboznov, A. V.; Ustinov, A. V.


An investigation is made of the dynamics of fluxon chains in long Josephson junctions with a periodic lattice of local inhomogeneities. In the commensurate case a chain as a whole is in a pinned state as long as the density of the bias current density is below a certain critical value. It is shown that defects in the form of an excess fluxon or a "hole" may propagate in a pinned chain. The long-wavelength approximation is used to deduce the evolution equation of a local deformation of a chain: the result is an "elliptic sine-Gordon equation" which has exact soliton solutions ("supersolitons") describing such defects. The current-voltage characteristics are found for the motion of a supersoliton in the presence of dissipation and a bias current (when the density of this current is less than the critical value). Supersoliton excitations are then predicted on the basis of a direct numerical solution of a perturbed sine-Gordon equation describing a periodically inhomogeneous junction. The soliton solutions of the elliptic sine-Gordon equation are also obtained numerically. Although the latter equation is in all probability nonintegrable, a numerical investigation shows in particular that a collision of two solitons of opposite polarities is in practice absolutely elastic. ... mehr

Zugehörige Institution(en) am KIT Physikalisches Institut (PHI)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 03.1990
Sprache Russisch
Identifikator ISSN: 0044-4510, 1029-175X
KITopen-ID: 1000078043
Erschienen in Zurnal ·eksperimental'noj i teoreticeskoj fiziki
Verlag Nauka
Band 97
Seiten 924-937
Nachgewiesen in Web of Science
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