N-Fold Darboux Transformation of the Jaulent-Miodek Equation - Applied Mathematics

AM > Vol.5 No.17, October 2014

N-Fold Darboux Transformation of the Jaulent-Miodek Equation ()

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DOI: 10.4236/am.2014.517254 3,772 Downloads 4,586 Views Citations

Author(s)

Guohua Xu

Affiliation(s)

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

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

Share and Cite:

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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