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N-Fold Darboux Transformation of the Jaulent-Miodek Equation

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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.
Cite this paper
Xu, G. (2014) N-Fold Darboux Transformation of the Jaulent-Miodek Equation. Applied Mathematics, 5, 2657-2663. doi: 10.4236/am.2014.517254. 
 

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