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Science in China Series A: Mathematics

, Volume 45, Issue 6, pp 706–715 | Cite as

Darboux transformation and solitons of Yang-Mills-Higgs equations in R2,1

  • Chaohao Gu
Article
  • 45 Downloads

Abstract

The Darboux transformations for soliton equations are applied to the Yang-Mills-Higgs equations. New solutions can be obtained from a known one via universal and purely algebraic formulas. SU(N) soliton solutions are constructed with explicit formulas. The interaction of solitons is described by the splitting theorem: each p-soliton is splitting into p single solitons asymptotically as t → ±∞.

Keywords

Yang-Mills-Higgs equations Darboux transformations solitons splitting theorem 

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Copyright information

© Science in China Press 2002

Authors and Affiliations

  1. 1.Institute of MathematicsFudan UniversityShanghaiChina

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