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hep-thSep 16, 2004
30
citations (OpenAlex)
authors
  • T. Ioannidou
  • N. S. Manton
institutions
  • Aristotle University of Thessaloniki
  • University of Cambridge
arXiv abstractPDF
paper

The Energy of Scattering Solitons in the Ward Model

arXiv:hep-th/0409168 · doi:10.1098/rspa.2005.1451

Abstract

The energy density of a scattering soliton solution in Ward's integrable chiral model is shown to be instantaneously the same as the energy density of a static multi-lump solution of the $\CP^3$ sigma model. This explains the quantization of the total energy in the Ward model.

arXiv comment12 pages, 2 figures

References in corpus (5)

  • Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system
  • Soliton Solutions and Nontrivial Scattering in an Integrable Chiral Model in (2+1) Dimensions
  • Solutions of the Modified Chiral Model in (2+1) Dimensions
  • The Inverse Spectral Theory for the Ward Equation and for the 2+1 Chiral Model
  • Conserved quantities for integrable chiral equations in 2+1 dimensions

Cited by in corpus (5)

  • Reduced dynamics of Ward solitons
  • Topology and Energy of Time Dependent Unitons
  • 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
  • Scattering of Noncommutative Waves and Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
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