N-Fold Darboux Transformation of the Jaulent-Miodek Equation

Guohua Xu

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

DOI: 10.4236/am.2014.517254                

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.

Keywords

Darboux Transformation, Exact Solution, Jaulent-Miodek Equation

Conflicts of Interest

The authors declare no conflicts of interest.

References

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