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

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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 → ±∞.

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Authors and Affiliations

  1. Institute of Mathematics, Fudan University, 200433, Shanghai, China

    Chaohao Gu

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  1. Chaohao Gu
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Correspondence to Chaohao Gu.

Additional information

The main contents of this work were reported at the Moshé Flato memorial conference (Dijon, September 2000) and W. L. Chow and K. T. Chen memorial conference (Tianjin, October 2000).

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Gu, C. Darboux transformation and solitons of Yang-Mills-Higgs equations in R2,1 . Sci. China Ser. A-Math. 45, 706–715 (2002). https://doi.org/10.1360/02ys9077

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  • DOI: https://doi.org/10.1360/02ys9077

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