Noncoaxial multivortices in the complex sine-Gordon theory on the plane
Exactly Solvable and Integrable Systems
2016-09-08 v1 Superconductivity
High Energy Physics - Theory
Mathematical Physics
Analysis of PDEs
math.MP
Adaptation and Self-Organizing Systems
Pattern Formation and Solitons
Fluid Dynamics
Optics
Abstract
We construct explicit multivortex solutions for the complex sine-Gordon equation (the Lund-Regge model) in two Euclidean dimensions. Unlike the previously found (coaxial) multivortices, the new solutions comprise single vortices placed at arbitrary positions (but confined within a finite part of the plane.) All multivortices, including the single vortex, have an infinite number of parameters. We also show that, in contrast to the coaxial complex sine-Gordon multivortices, the axially-symmetric solutions of the Ginzburg-Landau model (the stationary Gross-Pitaevskii equation) {\it do not} belong to a broader family of noncoaxial multivortex configurations.
Keywords
Cite
@article{arxiv.nlin/0202018,
title = {Noncoaxial multivortices in the complex sine-Gordon theory on the plane},
author = {I. V. Barashenkov and V. S. Shchesnovich and R. Adams},
journal= {arXiv preprint arXiv:nlin/0202018},
year = {2016}
}
Comments
40 pages, 7 figures in colour