Showing papers by "Yuri S. Kivshar published in 1988"
TL;DR: It is demonstrated that two colliding fluxons belonging to different junctions can form a bound state due to energy dissipative losses.
Abstract: Different dynamical processes with fluxons are analyzed in the framework of a known model describing two weakly coupled long Josephson junctions. It is demonstrated that two colliding fluxons belonging to different junctions can form a bound state due to energy dissipative losses. Collision between a fast fluxon and a large-amplitude (low-frequency) breather (bound fluxon-antifluxon state) belonging to different junctions is considered too, and a threshold condition for the possibility of breaking the breather into the fluxon-antifluxon pair is found. Some radiative effects are investigated. The equilibrium velocity of the fluxon's motion in the case when this velocity exceeds the limit velocity of the mate junction is found with regard to the ''Cherenkov'' energy losses. Then radiative effects accompanying collision of two fluxons are considered for the cases when the fluxons belong either to the same or to different junctions. For both cases the total emitted energy and its spectral distribution are obtained.
75 citations
TL;DR: In this paper, the interaction of a fluxon with a local defect in a damped dc driven long Josephson junction (LJJ) is analyzed by means of perturbation theory.
18 citations
7 citations
TL;DR: In this article, the effects of interchain coupling on soliton dynamics are studied analytically based on the model describing, e.g., ferromagnet chains with planar anisotropy or DNA double helices.
Abstract: Effects of interchain coupling on soliton dynamics are studied analytically based on the model describing, e . g ., ferromagnet chains with planar anisotropy or DNA double helices. In the framework of the perturbation theory the interaction of solitons belonging to different chains is investigated, a coupling constant being a small parameter. In particular, the interaction energy of the solitons is calculated, and it is demonstrated analytically that two slow solitons can form a bound state. Some radiative effects accompanying the soliton bound-state dynamics are considered by means of the perturbation theory based on the inverse scattering technique. It is also demonstrated that the slightly excited bound state of the solitons emits the longitudinal vibrations in the framework of a more general model used in the DNA theory.
7 citations