Dynamics of topological solitons in models with nonlocal interactions.
A nondissipative generalization of the sine-Gordon equation to cases with nonlocal interactions is analyzed. A model of this sort is shown to describe signal propagation in a Josephson transmission line with a nonlocal inductive coupling. The incorporation of nonlocal interactions changes the properties of the model in a qualitative way, leading in particular to the appearance of some new soliton entities: 2kpi kinks, where k greater, similar 1. These entities do not arise in a local model. They are evolutionary, they interact with each other in a quasielastic fashion, and they can be generated in a corresponding transmission line.
Alfimov
G. L.
GL
F. V. Lukin Institute of Physical Problems, Zelenograd, Moscow, 103460, Russia.
Eleonskii
V. M.
VM
Kulagin
N. E.
NE
Mitskevich
N. V.
NV