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<i>N</i>-Fold Darboux Transformation of the Jaulent-Miodek Equation
College of Science, University of Shanghai for Science and Technology, Shanghai, China
- 1 College of Science, University of Shanghai for Science and Technology, Shanghai, China
Applied Mathematics·Volume 05 (2014)·Pages 2657–2663·Published 9 October 2014·DOI10.4236/am.2014.517254
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Abstract
In this paper, based on the Lax pair of the Jaulent-Miodek spectral problem, we construct the Darboux transformation of the Jaulent-Miodek Equation. Then from a trivial solution, we get the exact solutions of the Jaulent-Miodek Equation. We obtain a kink-type soliton and a bell-kink-type soliton. Particularly, we obtain the exact solutions which describe the elastic-inelastic-interaction coexistence phenomenon.
KeywordsDarboux TransformationExact SolutionJaulent-Miodek Equation
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