Holomorphic Vector Bundles Corresponding to some Soliton Solutions of the Ward Equation
Creators
- 1. Jiangsu Second Normal University, School of Mathematics and Information Technology (China)
Description
Holomorphic vector bundles corresponding to the static soliton solution of the Ward equation were explicitly presented by Ward in terms of a meromorphic framing. Bundles (for simplicity, "bundle" is to be taken throughout to mean "holomorphic vector bundle") corresponding to all Ward k-soliton solutions whose extended solutions have only simple poles, and some Ward 2-soliton solutions whose extended solutions have only a second-order pole, were explicitly described by us in a previous paper. In this paper, we go on to present some bundles corresponding to soliton-antisoliton solutions of the Ward equation, and Ward 3-soliton solutions whose extended solutions have a simple pole and a double pole. To give some more interpretation of the bundles, we study the second Chern number of the corresponded bundles and find that it can be obtained directly from the patching matrices. We also point out some information about bundles corresponding to Ward soliton solutions whose extended solutions have general pole data at the end of the paper
Additional details
Identifiers
Publishing Information
- Journal Title
- Mathematical Physics, Analysis and Geometry
- Journal Volume
- 18
- Journal Issue
- 1
- Journal Page Range
- p. 1-11
- ISSN
- 1385-0172
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47037048
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CALCULATION METHODS; EQUATIONS; MATHEMATICAL SOLUTIONS; SOLITONS; VECTORS
- Descriptors DEC
- QUASI PARTICLES; TENSORS
Optional Information
- Copyright
- Copyright (c) 2015 Springer Science+Business Media Dordrecht