TITLE:
N-Fold Darboux Transformation of the Jaulent-Miodek Equation
AUTHORS:
Guohua Xu
KEYWORDS:
Darboux Transformation, Exact Solution, Jaulent-Miodek Equation
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.17,
October
9,
2014
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.