Showing papers by "Yuri S. Kivshar published in 1986"
TL;DR: In this paper, the collision of a fast kink with a more slow one in the presence of a localized inhomogeneity, and radiative effects accompanying the reflection of a kink from the edge in a problem on a half-line are considered.
15 citations
TL;DR: For the conservatively perturbed nonlinear Schrodinger equation three-particle effects in the collision of a fast soliton with a pair of more slow ones are considered in the first order of perturbation theory in this article.
11 citations
TL;DR: In this paper, the authors studied the forced motion of a domain wall in the presence of fluctuations of external magnetic field and those of the parameters of the magnetic medium, and they showed that inelastic interactions of two domain walls of opposite polarities are described.
Abstract: Forced motion of a domain wall in the presence of fluctuations of external magnetic field and those of the parameters of the magnetic medium is studied. Calculations for the models of magnetic systems described by the sine-Gordon and Landau-Lifshitz equations are presented. It is shown that the driven motion of domain walls is characterized by the time-independent velocity distribution function which is used to calculate various statistical characteristics of the domain wall. Analysis of the mean velocity of the steady motion of the domain wall leads to the conclusion that the presence of a fluctuating magnetic field results in an increase of the effective relaxation constant of the magnetic system. In case of the sine-Gordon model the mean radiation power accompanying the forced motion of the domain wall is calculated. Inelastic interactions of two domain walls of opposite polarities are described.
6 citations
TL;DR: In this article, the total emitted energy and the corresponding threshold value of the bias current density for radiative annihilation of a fluxon-antifluxon pair into a breather are found.
3 citations
TL;DR: In this paper, the energy emitted during the collision of two fluxons of opposite polarities in the dc driven damped (annular or infinitely long linear) Josephson junction described by a perturbed sine-Gordon equation is calculated by means of perturbation theory for solitons.
1 citations