Non-Topological Multi-Vortex Solutions to the Self-Dual Chern-Simons-Higgs Equation |
| |
Authors: | Hsungrow Chan Chun-Chieh Fu Chang-Shou Lin |
| |
Institution: | (1) Department of Mathematics Education, National Ping-Tung Teachers College. E-mail: hchan@math.npttc.edu.tw, TW;(2) Department of Finance, Fortune Institute of Technology. E-mail: ccfu@center.fjtc.edu.tw, TW;(3) Department of Mathematics, National Chung-Cheng University, Minghsiung, Chia-Yi, Taiwan, R.O.C. E-mail: cslin@math.ccu.edu.tw, TW |
| |
Abstract: | In this article, we construct self-dual N-vortex solutions with a large magnetic flux Φ of (2+1)-dimensional relativistic Chern-Simons model, provided that the coupling
constant κ is small and the cites of vorticity satisfies
.
Our solutions exhibit the bubbling phenomenon at each p
j
. Near each vortex p
j
, solutions are locally asymptotically symmetric with respect to p
j
, and the curvature F
12 tends to a sum of Dirac measures as κ tends to zero. By a heuristic argument, it is shown that (0.1) is also a necessary
condition for the existence of multi-vortex solutions which has a locally asymptotically symmetric vortex at .
Received: 20 August 2001 / Accepted: 31 December 2001 Published online: 29 October 2002
RID="*"
ID="*" Partially supported by National Center for Theoretical Sciences of NSC, Taiwan. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|