Article citationsMore>>

Biswas, A. and Kara, A.H. (2010) 1-Soliton Solution and Conservation Laws for the Jaulent-Miodekequation with Power Law Nonlinearity. Applied Mathematics and Computation, 217, 944-948.
http://dx.doi.org/10.1016/j.amc.2010.06.021

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.