Published December 2015 | Version v1
Journal article

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