Darboux transformation and solitons of Yang-Mills-Higgs equations in R2,1 |
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Authors: | CHGu |
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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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Keywords: | Yang-Mills-Higgs equations Darboux transformations solitons splitting theorem |
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