title: Dynamics of topological solitons in models with nonlocal interactions.
abstract: 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.
authors.affiliation: F. V. Lukin Institute of Physical Problems, Zelenograd, Moscow, 103460, Russia.
authors.forename: G. L.
authors.initials: GL
authors.lastname: Alfimov
authors.forename: V. M.
authors.initials: VM
authors.lastname: Eleonskii
authors.forename: N. E.
authors.initials: NE
authors.lastname: Kulagin
authors.forename: N. V.
authors.initials: NV
authors.lastname: Mitskevich