Ward's solitions

Abstract

Using the `Riemann Problem with zeros' method, Ward has constructed exact solutions to a (2+1)-dimensional integrable Chiral Model, which exhibit solitons with nontrivial scattering. We give a correspondence between what we conjecture to be all pure soliton solutions and certain holomorphic vector bundles on a compact surface.

12 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol1/paper2.abs.html

References in corpus (1)

• Soliton Solutions and Nontrivial Scattering in an Integrable Chiral Model in (2+1) Dimensions

Cited by in corpus (8)

• Topology and Energy of Time Dependent Unitons
• Moduli-Space Dynamics of Noncommutative Abelian Sigma-Model Solitons
• On the space-time Monopole equation
• Dispersionless limit of the noncommutative potential KP hierarchy and solutions of the pseudodual chiral model in 2+1 dimensions
• Compactified Twistor Fibration and Topology of Ward Unitons
• The Cauchy problem of the Ward equation with mixed scattering data
• Applications of Loop Group Factorization to Geometric Soliton Equations
• Backlund transformations, Ward solitons, and unitons