Xue, Y.S., Tian, B., Ai, W.B. and Jiang, Y. (2012) Darboux Transformation and Hamiltonian Structure for the Jaulent-Miodek Hierarchy. Applied Mathematics and Computation, 218, 11738-11750.
http://dx.doi.org/10.1016/j.amc.2012.04.072

has been cited by the following article:

• 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.