STUDY OF BOGOMOLNYI VORTICES ON A DISK

Authors
NASIR SM
Citation
Sm. Nasir, STUDY OF BOGOMOLNYI VORTICES ON A DISK, Nonlinearity, 11(3), 1998, pp. 445-466
Citations number
17
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
11
Issue
3
Year of publication
1998
Pages
445 - 466
Database
ISI
SICI code
0951-7715(1998)11:3<445:SOBVOA>2.0.ZU;2-H
Abstract
Bogomol'nyi vortices on a disk with Dirichlet boundary conditions are investigated and solutions are shown to exist. The dimension of the mo duli space of solutions is twice the vortex number. For one vortex nea r the boundary of the disk, the moduli space looks like a hyperbolic p lane. To check these findings various numerical tests are made on squa re domains with/without holes.